Climocella haurakiensis J.F. Goulstone, 1996
Trachycystis haygarthi (J.C. Melvill& J.H. Ponsonby, 1899)
Allodiscus hazelwoodi B.A. Marshall & G.M. Barker,2008
Chaureopa hazelwoodi F.M. Climo, 1985
Huonodon hectori (H.H. Suter, 1890)
Fectola hekyra (FOSSIL) B. Marshall & T.H. Worthy,2017 †
Amphidoxa helicophantoides (L. Pfeiffer, 1845)
Phacussa helmsi F.W. Hutton, 1883
Phacussa henryi H.H. Suter, 1899
Semperdon heptaptychius (J.F. Quadras& O.F. von Möllendorff, 1894)
Rotadiscus hermanni (L. Pfeiffer, 1866)
Elsothera hewittorum J. Stanisic, 1996
Thysanota hispida E.R. Sykes, 1898
Notodiscus hookeri (L.A. Reeve, 1854)
Flammocharopa hookeriana (W.F. Petterd, 1879)
Pernastela howensis T. Iredale, 1944
Pseudocharopa howerensis T. Iredale, 1944
Climocella hukutaia J.F. Goulstone& P.C. Mayhill, 1998
Ba humbugi G.A. Solem, 1983
Cavellioropa huttoni (H.H. Suter, 1890)
Phacussa hypopolia (L. Pfeiffer, 1853)
Suteria ide (J.E. Gray, 1850)
Thalassohelix igniflua (L.A. Reeve, 1852)
Dentherona illustra (C.J. Gabriel, 1947)
Pseudocharopa imperator T. Iredale, 1944
Gyrocochlea impressa C. Hedley, 1924
Discocharopa inexpectata C.J. Gabriel, 1947
Fectola infecta (L.A. Reeve, 1852)
Norfolcioconcha inimica T. Iredale, 1945
Rotadiscus insularis (F.M. Climo, 1978)
Sinployea intensa (T. Iredale, 1941)
Climocella intermedia J.F. Goulstone, 1997
Roblinella intermedia (N.H. Odhner, 1917)
Charopa involuta N.H. Odhner, 1921
Norfolcioconcha iota H.B. Preston, 1913