Lithistida Sollas, 1888
Discoderma
Discodermia Barboza du Bocage, 1869
Manihinea Pulitzer-Finali, 1993
Phyllodermia Schrammen, 1924
Racodiscula Zittel, 1878
Siliquariaspongia Hoshino, 1981
Theonella Gray, 1868