Angiosperm Phylogeny Group, 1998

Where the earlier taxonomy systems have been based on the look of the sex organs of the plants, like Carl Linnaeus suggested in 1753, or other characteristics,  the new science open up for a more accurate image of the relationship between the plants through DNA, using the PhyloCode system, invented at Harvard University in 1988. The system is unusual in being based, not on total evidence, but on the cladistic analysis of the DNA sequences of three genes, two chloroplast genes and one gene coding for ribosomes.

 This is their first approach, the second can be seen on APG II.

 The Angiosperm Phylogeny Group is using this new information to create a more accurate taxonomic system, based on the evolution of the plants. This is their first published work from 1998, published in Annals of the Missuri Botanical Garden 85: 531-553. It organizes flowering plants into a "selected number of monophyletic suprafamilial groups".

More systems and the history behind.

clade angiosperms   (First families in clade are not placed yet)
        family Amborellaceae
        family Austrobaileyaceae
        family Canellaceae
        family Chloranthaceae
        family Hydnoraceae
        family Illiciaceae
        family Nymphaeaceae [+ family Cabombaceae]
        family Rafflesiaceae
        family Schisandraceae
        family Trimeniaceae
        family Winteraceae
    order Ceratophyllales
        family Ceratophyllaceae
    order Laurales
        family Atherospermataceae
        family Calycanthaceae
        family Gomortegaceae
        family Hernandiaceae
        family Lauraceae
        family Monimiaceae
        family Siparunaceae
    order Magnoliales
        family Annonaceae
        family Degeneriaceae
        family Eupomatiaceae
        family Himantandraceae
        family Magnoliaceae
        family Myristicaceae
    order Piperales
        family Aristolochiaceae
        family Lactoridaceae
        family Piperaceae
        family Saururaceae
clade monocots
        family Corsiaceae
        family Japonoliriaceae
        family Nartheciaceae
        family Petrosaviaceae
        family Triuridaceae
    order Acorales
        family Acoraceae
    order Alismatales
        family Alismataceae
        family Aponogetonaceae
        family Araceae
        family Butomaceae
        family Cymodoceaceae
        family Hydrocharitaceae
        family Juncaginaceae
        family Limnocharitaceae
        family Posidoniaceae
        family Potamogetonaceae
        family Ruppiaceae
        family Scheuchzeriaceae
        family Tofieldiaceae
        family Zosteraceae
    order Asparagales
        family Agapanthaceae
        family Agavaceae
        family Alliaceae
        family Amaryllidaceae
        family Anemarrhenaceae
        family Anthericaceae
        family Aphyllanthaceae
        family Asparagaceae
        family Asphodelaceae
        family Asteliaceae
        family Behniaceae
        family Blandfordiaceae
        family Boryaceae
        family Convallariaceae
        family Doryanthaceae
        family Hemerocallidaceae
        family Herreriaceae
        family Hyacinthaceae
        family Hypoxidaceae
        family Iridaceae
        family Ixioliriaceae
        family Lanariaceae
        family Laxmanniaceae
        family Orchidaceae
        family Tecophilaeaceae
        family Themidaceae
        family Xanthorrhoeaceae
        family Xeronemataceae
    order Dioscoreales
        family Burmanniaceae
        family Dioscoreaceae
        family Taccaceae
        family Thismiaceae
        family Trichopodaceae
    order Liliales
        family Alstroemeriaceae
        family Campynemataceae
        family Colchicaceae
        family Liliaceae
        family Luzuriagaceae
        family Melanthiaceae
        family Philesiaceae
        family Ripogonaceae
        family Smilacaceae
    order Pandanales
        family Cyclanthaceae
        family Pandanaceae
        family Stemonaceae
        family Velloziaceae
clade commelinoids
        family Abolbodaceae
        family Bromeliaceae
        family Dasypogonaceae
        family Hanguanaceae
        family Mayacaceae
        family Rapateaceae
    order Arecales
        family Arecaceae
    order Commelinales
        family Commelinaceae
        family Haemodoraceae
        family Philydraceae
        family Pontederiaceae
    order Poales
        family Anarthriaceae
        family Centrolepidaceae
        family Cyperaceae
        family Ecdeiocoleaceae
        family Eriocaulaceae
        family Flagellariaceae
        family Hydatellaceae
        family Joinvilleaceae
        family Juncaceae
        family Poaceae
        family Prioniaceae
        family Restionaceae
        family Sparganiaceae
        family Thurniaceae
        family Typhaceae
        family Xyridaceae
    order Zingiberales
        family Cannaceae
        family Costaceae
        family Heliconiaceae
        family Lowiaceae
        family Marantaceae
        family Musaceae
        family Strelitziaceae
        family Zingiberaceae
clade eudicots
        family Buxaceae
        family Didymelaceae
        family Sabiaceae
        family Trochodendraceae [+ family Tetracentraceae]
    order Proteales
        family Nelumbonaceae
        family Platanaceae
        family Proteaceae
    order Ranunculales
        family Berberidaceae
        family Circaeasteraceae [+ family Kingdoniaceae]
        family Eupteleaceae
        family Lardizabalaceae
        family Menispermaceae
        family Papaveraceae [+ family Fumariaceae and family Pteridophyllaceae]
        family Ranunculaceae
clade core eudicots
        family Aextoxicaceae
        family Berberidopsidaceae
        family Dilleniaceae
        family Gunneraceae
        family Myrothamnaceae
        family Vitaceae
    order Caryophyllales
        family Achatocarpaceae
        family Aizoaceae
        family Amaranthaceae
        family Ancistrocladaceae
        family Asteropeiaceae
        family Basellaceae
        family Cactaceae
        family Caryophyllaceae
        family Didiereaceae
        family Dioncophyllaceae
        family Droseraceae
        family Drosophyllaceae
        family Frankeniaceae
        family Molluginaceae
        family Nepenthaceae
        family Nyctaginaceae
        family Physenaceae
        family Phytolaccaceae
        family Plumbaginaceae
        family Polygonaceae
        family Portulacaceae
        family Rhabdodendraceae
        family Sarcobataceae
        family Simmondsiaceae
        family Stegnospermataceae
        family Tamaricaceae
    order Santalales
        family Olacaceae
        family Opiliaceae
        family Loranthaceae
        family Misodendraceae
        family Santalaceae
    order Saxifragales
        family Altingiaceae
        family Cercidiphyllaceae
        family Crassulaceae
        family Daphniphyllaceae
        family Grossulariaceae
        family Haloragaceae
        family Hamamelidaceae
        family Iteaceae
        family Paeoniaceae
        family Penthoraceae
        family Pterostemonaceae
        family Saxifragaceae
        family Tetracarpaeaceae
clade rosids
        family Aphloiaceae
        family Crossosomataceae
        family Ixerbaceae
        family Krameriaceae
        family Picramniaceae
        family Podostemaceae
        family Stachyuraceae
        family Staphyleaceae
        family Tristichaceae
        family Zygophyllaceae
    order Geraniales
        family Francoaceae
        family Geraniaceae [+ family Hypseocharitaceae]
        family Greyiaceae
        family Ledocarpaceae
        family Melianthaceae
        family Vivianiaceae
clade eurosids I
        family Celastraceae
        family Huaceae
        family Parnassiaceae [+ family Lepuropetalaceae]
        family Stackhousiaceae
    order Cucurbitales
        family Anisophylleaceae
        family Begoniaceae
        family Coriariaceae
        family Corynocarpaceae
        family Cucurbitaceae
        family Datiscaceae
        family Tetramelaceae
    order Fabales
        family Fabaceae
        family Polygalaceae
        family Quillajaceae
        family Surianaceae
    order Fagales
        family Betulaceae
        family Casuarinaceae
        family Fagaceae
        family Juglandaceae
        family Myricaceae
        family Nothofagaceae
        family Rhoipteleaceae
        family Ticodendraceae
    order Malpighiales
        family Achariaceae
        family Balanopaceae
        family Caryocaraceae
        family Chrysobalanaceae
        family Clusiaceae
        family Dichapetalaceae
        family Erythroxylaceae
        family Euphorbiaceae
        family Euphroniaceae
        family Flacourtiaceae
        family Goupiaceae
        family Hugoniaceae
        family Humiriaceae
        family Hypericaceae
        family Irvingiaceae
        family Ixonanthaceae
        family Lacistemaceae
        family Linaceae
        family Malesherbiaceae
        family Malpighiaceae
        family Medusagynaceae
        family Ochnaceae
        family Pandaceae
        family Passifloraceae
        family Putranjivaceae
        family Quiinaceae
        family Rhizophoraceae
        family Salicaceae
        family Scyphostegiaceae
        family Trigoniaceae
        family Turneraceae
        family Violaceae
    order Oxalidales
        family Cephalotaceae
        family Connaraceae
        family Cunoniaceae
        family Elaeocarpaceae
        family Oxalidaceae
        family Tremandraceae
    order Rosales
        family Barbeyaceae
        family Cannabaceae
        family Cecropiaceae
        family Celtidaceae
        family Dirachmaceae
        family Elaeagnaceae
        family Moraceae
        family Rhamnaceae
        family Rosaceae
        family Ulmaceae
        family Urticaceae
clade eurosids II
        family Tapisciaceae
    order Brassicales
        family Akaniaceae [+ family Bretschneideriaceae]
        family Bataceae
        family Brassicaceae
        family Caricaceae
        family Emblingiaceae
        family Gyrostemonaceae
        family Koeberliniaceae
        family Limnanthaceae
        family Moringaceae
        family Pentadiplandraceae
        family Resedaceae
        family Salvadoraceae
        family Setchellanthaceae
        family Tovariaceae
        family Tropaeolaceae
    order Malvales
        family Bixaceae [+ family Cochlospermaceae]
        family Cistaceae
        family Cochlospermaceae
        family Diegodendraceae
        family Dipterocarpaceae
        family Malvaceae
        family Muntingiaceae
        family Neuradaceae
        family Sarcolaenaceae
        family Sphaerosepalaceae
        family Thymelaeaceae
    order Myrtales
        family Alzateaceae
        family Combretaceae
        family Crypteroniaceae
        family Heteropyxidaceae
        family Lythraceae
        family Melastomataceae
        family Memecylaceae
        family Myrtaceae
        family Oliniaceae
        family Onagraceae
        family Penaeaceae
        family Psiloxylaceae
        family Rhynchocalycaceae
        family Vochysiaceae
    order Sapindales
        family Anacardiaceae
        family Biebersteiniaceae
        family Burseraceae
        family Kirkiaceae
        family Meliaceae
        family Nitrariaceae [+ family Peganaceae]
        family Rutaceae
        family Sapindaceae
        family Simaroubaceae
clade asterids
    order Cornales
        family Cornaceae [+ family Nyssaceae]
        family Grubbiaceae
        family Hydrangeaceae
        family Hydrostachyaceae
        family Loasaceae
    order Ericales
        family Actinidiaceae
        family Balsaminaceae
        family Clethraceae
        family Cyrillaceae
        family Diapensiaceae
        family Ebenaceae
        family Ericaceae
        family Fouquieriaceae
        family Halesiaceae
        family Lecythidaceae
        family Marcgraviaceae
        family Myrsinaceae
        family Pellicieraceae
        family Polemoniaceae
        family Primulaceae
        family Roridulaceae
        family Sapotaceae
        family Sarraceniaceae
        family Styracaceae
        family Symplocaceae
        family Ternstroemiaceae
        family Tetrameristaceae
        family Theaceae
        family Theophrastaceae
clade euasterids I
        family Boraginaceae
        family Plocospermataceae
        family Vahliaceae
    order Garryales
        family Aucubaceae
        family Eucommiaceae
        family Garryaceae
        family Oncothecaceae
    order Gentianales
        family Apocynaceae
        family Gelsemiaceae
        family Gentianaceae
        family Loganiaceae
        family Rubiaceae
    order Lamiales
        family Acanthaceae
        family Avicenniaceae
        family Bignoniaceae
        family Buddlejaceae
        family Byblidaceae
        family Cyclocheilaceae
        family Gesneriaceae
        family Lamiaceae
        family Lentibulariaceae
        family Myoporaceae
        family Oleaceae
        family Paulowniaceae
        family Pedaliaceae [+ family Martyniaceae]
        family Phrymaceae
        family Plantaginaceae
        family Schlegeliaceae
        family Scrophulariaceae
        family Stilbaceae
        family Tetrachondraceae
        family Verbenaceae
    order Solanales
        family Convolvulaceae
        family Hydroleaceae
        family Montiniaceae
        family Solanaceae
        family Spenocleaceae
clade euasterids II
        family Adoxaceae
        family Bruniaceae
        family Carlemanniaceae
        family Columelliaceae [+ family Desfontainiaceae]
        family Eremosynaceae
        family Escalloniaceae
        family Icacinaceae
        family Polyosmaceae
        family Sphenostemonaceae
        family Tribelaceae
    order Apiales
        family Apiaceae
        family Araliaceae
        family Aralidiaceae
        family Griseliniaceae
        family Melanophyllaceae
        family Pittosporaceae
        family Torricelliaceae
    order Aquifoliales
        family Aquifoliaceae
        family Helwingiaceae
        family Phyllonomaceae
    order Asterales
        family Alseuosmiaceae
        family Argyrophyllaceae
        family Asteraceae
        family Calyceraceae
        family Campanulaceae [+ family Lobeliaceae]
        family Carpodetaceae
        family Donatiaceae
        family Goodeniaceae
        family Menyanthaceae
        family Pentaphragmataceae
        family Phellinaceae
        family Rousseaceae
        family Stylidiaceae
    order Dipsacales
        family Caprifoliaceae
        family Diervillaceae
        family Dipsacaceae
        family Linnaeaceae
        family Morinaceae
        family Valerianaceae

Note: "+ ..." = optional seggregrate family, that may be split off from the preceding family.

Families of uncertain position
        family Balanophoraceae
        family Bonnetiaceae
        family Cardiopteridaceae
        family Ctenolophonaceae
        family Cynomoriaceae
        family Cytinaceae
        family Dipentodontaceae
        family Elatinaceae
        family Geissolomataceae
        family Hoplestigmataceae
        family Kaliphoraceae
        family Lepidobotryaceae
        family Lissocarpaceae
        family Lophopyxidaceae
        family Medusandraceae
        family Mettenusiaceae
        family Mitrastemonaceae
        family Paracryphiaceae
        family Pentaphylacaceae
        family Peridiscaceae
        family Plagiopteraceae
        family Pottingeriaceae
        family Sladeniaceae
        family Strasburgeriaceae
        family Tepuianthaceae