Cuvierina astesana (FOSSIL) (P.C.A.S.L. Rang, 1829 †)
Cuvierina atlantica A.W.H. Bè, C. MacClintock& D.R. Currie, 1972
Ireneia aucklandica (FOSSIL) (A.H. Clarke, 1905 †)
Cuvierina austriaca (FOSSIL) E.A.L. Kittl, 1886 †
Johnjagtia baharensis (FOSSIL) A.W. Janssen, 2012 †
Ireneia calandrellii (FOSSIL) (O.G. Michelotti, 1847 †)
Cuvierina cancapae (A.W. Janssen, 2005)
Cuvierina columnella (P.C.A.S.L. Rang, 1827)
Johnjagtia moulinsii (FOSSIL) (É.A. Benoist, 1874 †)
Ireneia nieulandei (FOSSIL) Janssen, 1995 †
Cuvierina pacifica A.W. Janssen, 2005
Cuvierina paronai (FOSSIL) Checchia-Rispoli, 1921 †
Cuvierina spoeli J. Rampal, 2002
Ireneia tenuistriata (FOSSIL) (C.G. Semper, 1861 †)
Cuvierina torpedo (FOSSIL) (P. Marshall, 1918 †)
Cuvierina tsudai Burridge, A.W. Janssen& Peijnenburg, 2016
Cuvierina urceolaris (O.A.L. Mörch, 1850)
Ireneia urenuiensis (FOSSIL) (H.H. Suter, 1917 †)