After Parker, 1982

<==o Actiniaria
   |-- Acontiophoridae
   |-- Actinernidae
   |-- Actiniidae
   |-- Actinodendronidae
   |-- Actinoscyphiidae
   |-- Actinostolidae
   |-- Aiptasiidae
   |-- Aliciidae
   |-- Andresiidae
   |-- Andwakiidae
   |-- Aurelianiidae
   |-- Kapneidae
   |-- Bathyphelliidae
   |-- Boloceroididae
   |-- Condylanthidae
   |-- Diadumenidae
   |-- Edwardsiidae
   |-- Exocoelactiidae
   |-- Galatheanthemidae
   |-- Gonactiniidae
   |-- Halcampidae
   |-- Halcampoididae
   |-- Halcuriidae
   |-- Haliactiidae
   |-- Haliplanellidae
   |-- Haloclavidae
   |-- Homostichanthidae
   |-- Hormathiidae
   |-- Isanthidae
   |-- Isophelliidae
   |-- Limnactiniidae
   |-- Liponematidae
   |-- Metridiidae
   |-- Minyadidae
   |-- Nemanthidae
   |-- Nevadneidae
   |-- Octineonidae
   |-- Phymanthidae
   |-- Sagartiidae
   |-- Sagartiomorphidae
   |-- Stichodactylidae
   `-- Thalassianthidae

Reference(s):