Cucullaea gabbi (FOSSIL) Johnson, 1905 †
Noramya gabrielensis (FOSSIL) (Leymerie 1842) †
Cucullaea gabrielis (FOSSIL) G.P. Deshayes in Leymerie,1842 †
Cucullaea gigantea (FOSSIL) T.A. Conrad, 1862 †
Cucullaea granulosa I.H. Jonas, 1846
Pseudocucullaea gregoryi (FOSSIL) Olsson 1934 †
Cucullaea hamptoni (FOSSIL) J. Marwick, 1965 †
Cucullaea harttii (FOSSIL) Rathburn, 1875 †
Cucullaea imperialis (FOSSIL) Phillips, 1829 †
Cucullaea inarata (FOSSIL) Finlay & J. Marwick,1937 †
Cucullaea isolda (FOSSIL) C.J. Maury, 1930 †
Lopatinia jenisseae (FOSSIL) (Lahusen, 1883 †)
Trigonoarca jessupae (FOSSIL) C.J. Maury, 1930 †
Cucullaea kaufmanensis (FOSSIL) Gardner, 1935 †
Cucullaea keepingi (FOSSIL) Finlay †
Idonearca kingsensis (FOSSIL) L.W. Stephenson, 1941 †
Cucullaea labiata (J. Lightfoot, 1786)
Trigonoarca ligeriensis (FOSSIL) (A.V.M.D. D'Orbigny,1847 †)
Cucullaea littlei (FOSSIL) W.M. Gabb, 1877 †
Idonearca littlei (FOSSIL) W.M. Gabb, 1877 †
Cucullaea macerata (FOSSIL) Boehm, 1881 †
Idonearca maresi (FOSSIL) Coquand, 1880 †
Monteleonia marshalli (FOSSIL) Zinsmeister, 1981 †
Cucullaea minchinhamptonensis (FOSSIL) Cox & Arkell, 1948 †
Idonearca muensteri (FOSSIL) (Oppel, 1856 †)
Cucullaea multicostata (FOSSIL) H.F.A. von Ihering,1904 †
Idonearca murrayi (FOSSIL) L.W. Stephenson, 1941 †
Cucullaea nana (FOSSIL) Lycett †
Trigonoarca obliquata (FOSSIL) M. Amano, 1957 †
Austrocucullaea oliveroi (FOSSIL) Zinsmeister, 1988 †
Idonearca orientalis (FOSSIL) J.H.F. Douvillé, 1916 †
Cucullaea ornata (FOSSIL) Buckman, J †
Cucullaea pachygastris (FOSSIL) Boettger, 1880 †
Cucullaea pamotanensis (FOSSIL) Martin, 1910 †
Pseudocucullaea parijana (FOSSIL) F. Hodson & al., 1927 †