Rhynchonellata
Acuminothyris Roberts, 1963
Adminiculoria Waterhouse & Gupta, 1979
Alispirifer Campbell, 1961
Avisyrinx Martinez-Chacon, 1975
Bashkiria Nalivkin, 1979
Calvustrigis Carter, 1987
Cantabriella Martinez Chacon & Rio Garcia, 1987
Celsifornix Carter, 1974
Fusella M'Coy, 1844
Haplospirifer Lee & Gu, 1976
Iwaispirifer
Johncarteria Waterhouse, 2004
Pteroplecta Waterhouse, 1978
Spiriferinaella Frédéricks, 1926
Strophopleura
Triangularia Poletaev, 2001
Voiseyella Roberts, 1964
