Rhynchonellata
Atrypella Kozlowski, 1929
Atrypellina Menakova & Nikiforova, 1986
Atrypoidea Mitchell & Dun, 1920
Atrypopsis Poulsen, 1943
Aulacatrypa Havlicek, 1987
Australina Clarke, 1913
Cerasina Copper, 1995
Cromatrypa Havlicek, 1987
Dubaria Termier, 1936
Glassia Davidson, 1881
Holynatrypa Havlicek, 1973
Idiospira Cooper, 1956
Levispira Mizens, 1975
Lissatrypa Twenhofel, 1914
Meifodia Williams, 1951
Nanospira Amsden, 1949
Parmula Menakova & Breivel, 1987
Radimatrypa Havlicek & Kukal, 1990
Septatrypa Kozlowski, 1929
Shrockia Boucot & Smith, 1978
Tectatrypa