Azeca baudoni (FOSSIL) Michaud, 1862 †
Hypnophila bisacchii F.L. Giusti, 1970
Hypnophila boissii (D. Dupuy, 1850)
Cochlicopa curta (S. Clessin, 1908)
Hypnophila cyclothyra (O. Böttger, 1885)
Hypnophila cylindracea (P. Calcara, 1840)
Cochlicopa davidia C.M.F. Ancey, 1882
Cochlicopa despecta G.P. Deshayes, 1857
Hypnophila dohrni (M. Paulucci, 1882)
Cochlicopa dormitzeri (FOSSIL) (A.E. Reuss in A.E. Reuss& Meyer, 1849 †)
Cochlicopa dushanbensis Y.I. Starobogatov, 1996
Cryptazeca elongata B. Gómez, 1990
Hypnophila emiliana (J.R. Bourguignat, 1858)
Cochlicopa fassabortoloi (FOSSIL) M. Harzhauser, T.A. Neubauer& D. Esu, 2015 †
Azeca frechi (FOSSIL) Andreae, 1902 †
Hypnophila girottii D. Esu, 1978
Azeca goodalli (A.E.J. Férussac, 1821)
Cochlicopa headonensis (FOSSIL) R.B. Newton & G.F. Harris,1894 †
Cochlicopa heptapotamica Y.I. Starobogatov, 1996
Hypnophila incerta (J.R. Bourguignat, 1858)
Cochlicopa izzatullaevi Y.I. Starobogatov, 1996
Cochlicopa kamchatica Y.I. Starobogatov, 1996
Cryptazeca kobelti E. Gittenberger, 1983
Cochlicopa kurenkovi Y.I. Starobogatov, 1996
Cochlicopa kurilensis Y.I. Starobogatov, 1996
Cochlicopa laevissima (FOSSIL) (Michaud, 1862) †
Cochlicopa likharevi Y.I. Starobogatov, 1996
Cochlicopa loxostoma (FOSSIL) E. Klein, 1853 †
Cochlicopa lubrica (O.F. Müller, 1774)
Cochlicopa lubricella (C. Porro, 1838)
Cochlicopa maacki Y.I. Starobogatov, 1996
Cochlicopa major (J.R. Bourguignat, 1864)
Hypnophila malagana E. Gittenberger, 1983
Azeca menkeana (C. Pfeiffer, 1821)
Cochlicopa milleri (FOSSIL) Wenz, 1919 †