Anthozoa Ehrenberg, 1834
Aknisophyllum Oliver, 1960
Angustiphyllum Altevogt, 1963
Archaeozaphrentis Ivanovskii, 1959
Asthenophyllum
Axiphoria Tcherepnina, 1960
Axolasma
Bighornia Duncan, 1957
Bodophyllum Neuman, 1969
Borelasma Neuman, 1969
Bowenelasma Scrutton, 1973
Brachyelasma Lang, Smith & Thomas, 1940
Breviphyllum Stumm, 1949
Briantelasma Oliver, 1960
Compressiphyllum Stumm, 1949
Crassilasma Ivanovskii, 1962
Dalmanophyllum Lang & Smith, 1939
Deiracorallium Nelson, 1963
Densigrewingkia Neuman, 1969
Densiphrentis
Densiphyllum Dybowski, 1873
Dinophyllum Lindström, 1882
Dybowskia Wedekind, 1927
Enterolasma Simpson, 1900
Eurogrewingkia Neuman, 2003
Fosselasma Neuman, 2003
Grewingkia Dybowski, 1873
Greywinckia
Helicelasma Neuman, 1969
Homalophyllum Simpson, 1900
Kaljolasma
Kenophyllum Dybowski, 1873
Kionelasma Simpson, 1900
Leolasma Kaljo, 1956
Lobocorallium Nelson, 1963
Neobrachyelasma
Nevadaphyllum Stumm, 1937
Ogilvilasma Pedder, 1978
Palaeocyathus Foerste, 1888
Palaeophyllum Billings, 1858
Parabrachyelasma Tcherepnina, 1960
Paramplexoides Ho, 1978
Paterophyllum Pocta, 1902
Porfirieviella
Pterophrentis
Pycnactoides Ho, 1978
Rectigrewingkia Kaljo, 1961
Rhegmaphyllum Wedekind, 1927
Salvadorea Nelson, 1981
Siphonolasma Ho, 1978
Soshkinolites
Streptelasma Hall, 1847
Streptolasma d'Orbigny, 1850
Streptoplasma Hall, 1847
Tenuilasma Ivanovskii, 1965
Triplophyllum Simpson, 1900
Tungussophyllum Ivanovskii, 1959
Ullernelasma Neuman, 1975
