Anthozoa Ehrenberg, 1834
Alleynia Pocta, 1902
Amplexocarinia Soschkina, 1928
Barrandeophyllum Pocta, 1902
Bitraria
Boolelasma Pedder, 1967
Catactotoechus Hill, 1954
Czarnockia Rozkowska, 1969
Erfoudia Berkowski, 2008
Friedbergia Rozkowska, 1969
Gorizdronia Rozkowska, 1969
Guerichiphyllum Rozkowska, 1969
Hillaxon Rozkowska, 1969
Kabakovitchiella
Laccophyllum Simpson, 1900
Marocaxon Berkowski, 2008
Metrionaxon Glinski, 1963
Nalivkinella Soshkina, 1939
Neaxon Kullmann, 1965
Neaxonella Weyer, 1978
Nicholsoniella Soshkina, 1952
Paralleynia Soschkina, 1936
Pedderelasma
Retiophyllum Pocta, 1902
Saucrophyllum Philip, 1962
Schindewolfia Weissermel, 1943
Sutherlandinia
Syringaxon Lindström, 1882
Taralasma Pedder, 1967
Trochophyllum Milne-Edwards & Haime, 1850
