Hindsiclava hertleini W.K. Emerson & G.E. Radwin,1969
Hindsiclava ignorata D. Frassinetti & Covacevich,1995
Hindsiclava jungi O. Macsotay & B. Campos,2001
Hindsiclava macilenta (W.H. Dall, 1889)
Hindsiclava militaris (R.B. Hinds,in L.A. Reeve, 1843)
Hindsiclava perspirata (FOSSIL) (W.H. Dall, 1890 †)
Hindsiclava polytorta (W.H. Dall, 1881)
Hindsiclava praeconsors (FOSSIL) (Gardner, 1938 †)
Hindsiclava pyrgoma (FOSSIL) W.P. Woodring, 1970 †
Hindsiclava resina (W.H. Dall, 1908)
Hindsiclava rosenstielanus D.L. Tippett, 2007
Hindsiclava tippetti E.J. Petuch, 1987
Hindsiclava wiedenmayeri (FOSSIL) B.M. Landau, F. Da Silva& S.M. Heitz, 2016 †
Hormospira maculosa (G.B. I Sowerby, 1834)
Inquisitor acervatus B.C. Cotton, 1947
Inquisitor adenicus A.V. Sysoev, 1996
Inquisitor aesopus (M.M. Schepman, 1913)
Inquisitor alabaster (L.A. Reeve, 1843)
Inquisitor angustiliratus A.V. Sysoev, 1996
Inquisitor angustus J.T. Kuroda, T. Habe& K. Oyama, 1971
Inquisitor arctatus R.N. Kilburn, 1988
Inquisitor armillatus P. Stahlschmidt& K. Fraussen, 2014
Inquisitor awamoaensis (FOSSIL) (F.W. Hutton, 1873 †)
Inquisitor carmen (G.B. III Sowerby, 1916)
Inquisitor chocolata (E.A. Smith, 1875)
Inquisitor cosibensis (FOSSIL) (M. Yokoyama, 1920 †)
Inquisitor cotteri (FOSSIL) E.W. Vredenburg, 1921 †
Inquisitor dampieria (C. Hedley, 1922)
Inquisitor eburatus L. Bozzetti, 2011
Inquisitor elachystoma (E.C. Von Martens, 1901)
Inquisitor elegans L. Bozzetti, 1993
Inquisitor elkeae P. Stahlschmidt, 2013
Inquisitor exiguus (J.T. Kuroda, T. Habe& K. Oyama, 1971)
Inquisitor fibratis C. Hedley, 1922
Inquisitor flemingi (FOSSIL) (P. Vella, 1954 †)
Inquisitor flindersianus C. Hedley, 1922
Inquisitor formidabilis C. Hedley, 1922
Inquisitor fraudator (FOSSIL) (Finlay & J. Marwick,1937 †)
Inquisitor fusiformis (P. Stahlschmidt, 2013)