Turbinoliidae Milne-Edwards & Haime, 1848
Conocyathus fenestratus Tenison-Woods, 1879
Conocyathus formosus Cairns, 2004
Conocyathus gracilis Cairns, 1998
Conocyathus scabriculatus Dennant
Conocyathus sulcatus d'Orbigny, 1849
Conocyathus zelandiae Duncan, 1876
