1. Subgenus Torinia (Climacopoma) P. Fischer, 1885 † accepted as Climacopoma P. Fischer, 1885 †
   1. Species Torinia (Climacopoma) grandis (Nyst, 1845) † accepted as Climacopoma grande (Nyst, 1845) † (unaccepted > superseded combination)
   2. Species Torinia (Climacopoma) patula (Lamarck, 1804) † accepted as Climacopoma patulum (Lamarck, 1804) † (unaccepted > superseded combination)
2. Subgenus Torinia (Pseudomalaxis) P. Fischer, 1885 accepted as Pseudomalaxis P. Fischer, 1885 (superseded combination)
3. Subgenus Torinia (Torinia) J. E. Gray, 1842 accepted as Heliacus A. d'Orbigny, 1842
   1. Species Torinia (Torinia) rosae Selli, 1974 † accepted as Torinia rosae Selli, 1974 † accepted as Heliacus variegatus (Gmelin, 1791)
4. Species Torinia aequatorialis Thiele, 1925 accepted as Pseudotorinia gemmulata (Thiele, 1925)
5. Species Torinia aspera (Hinds, 1844) accepted as Granosolarium asperum (Hinds, 1844) (superseded combination)
6. Species Torinia bisulcata (A. d'Orbigny, 1842) accepted as Heliacus (Torinista) bisulcatus (A. d'Orbigny, 1842) represented as Heliacus bisulcatus (A. d'Orbigny, 1842) (unaccepted > superseded combination)
7. Species Torinia canalifera Dall, 1889 (unaccepted > nomen nudum)
8. Species Torinia concava Thiele, 1925 accepted as Pseudotorinia concava (Thiele, 1925)
9. Species Torinia conica Pease, 1865 accepted as Heliacus trochoides (Deshayes, 1830)
10. Species Torinia costata Schepman, 1909 accepted as Heliacus (Torinista) costatus (Schepman, 1909) represented as Heliacus costatus (Schepman, 1909)
11. Species Torinia deningeri K. Martin, 1914 † accepted as Heliacus deningeri (K. Martin, 1914) †
12. Species Torinia densegranosa Pilsbry, 1905 accepted as Heliacus (Torinista) enoshimensis (Melvill, 1891) represented as Heliacus enoshimensis (Melvill, 1891)
13. Species Torinia discoidea Pease, 1868 accepted as Heliacus (Teretropoma) discoideus (Pease, 1868) represented as Heliacus discoideus (Pease, 1868)
14. Species Torinia dorsuosa auct. accepted as Heliacus (Torinista) implexus (Mighels, 1845) represented as Heliacus implexus (Mighels, 1845)
15. Species Torinia dorsuosa (Hinds, 1844) accepted as Solarium dorsuosum Hinds, 1844
16. Species Torinia elegantula Yokoyama, 1922 † accepted as Pseudotorinia amoena (Murdoch & Suter, 1906) (junior subjective synonym)
17. Species Torinia foveolata Tate, 1893 accepted as Pseudotorinia delectabilis (Melvill, 1893)
18. Species Torinia gemmulata Thiele, 1925 accepted as Pseudotorinia gemmulata (Thiele, 1925)
19. Species Torinia gyrus Bayer, 1948 accepted as Heliacus (Heliacus) areola areola (Gmelin, 1791) represented as Heliacus areola areola (Gmelin, 1791)
20. Species Torinia madurensis Schepman, 1909 accepted as Heliacus (Torinista) madurensis (Schepman, 1909) represented as Heliacus madurensis (Schepman, 1909)
21. Species Torinia malani Dautzenberg, 1910 accepted as Heliacus malani (Dautzenberg, 1910) (original combination)
22. Species Torinia mirabilis Schepman, 1909 accepted as Granosolarium mirabile (Schepman, 1909)
23. Species Torinia mitrai Beets, 1941 † accepted as Pseudotorinia mitrai (Beets, 1941) †
24. Species Torinia rosae Selli, 1974 † accepted as Heliacus variegatus (Gmelin, 1791)
25. Species Torinia theresae O. Semper, 1861 † accepted as Pseudotorinia theresae (O. Semper, 1861) † (unaccepted > superseded combination)
26. Species Torinia variegata (Gmelin, 1791) accepted as Heliacus (Heliacus) variegatus (Gmelin, 1791) represented as Heliacus variegatus (Gmelin, 1791)
27. Species Torinia riisei Mörch, 1875 (uncertain > nomen dubium)
28. Species Torinia rotundata Gabb, 1873 † (uncertain > unassessed)
29. Species Torinia sulcifera Pease, 1869 (uncertain > nomen dubium)

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