1. Genus Cloudia Knight, 1947 †
   1. Species Cloudia buttsi Knight, 1947 †
2. Genus Cyrtolites Conrad, 1838 †
   1. Species Cyrtolites budleighensis Cowper Reed, 1921 †
   2. Species Cyrtolites claysferryensis Wahlman, 1992 †
   3. Species Cyrtolites craigensis Cowper Reed, 1921 †
   4. Species Cyrtolites dilatus Ulrich & Scofield, 1897 †
   5. Species Cyrtolites disjunctus Ulrich & Scofield, 1897 †
   6. Species Cyrtolites grandis Koken, 1897 †
   7. Species Cyrtolites hornyi Wahlman, 1992 †
   8. Species Cyrtolites inornatum (J. Hall, 1845) †
   9. Species Cyrtolites inprobus Barrande, 1903 †
   10. Species Cyrtolites insculptus Northrop, 1939 †
   11. Species Cyrtolites minor Ulrich & Scofield, 1897 †
   12. Species Cyrtolites nodosus Salter & Aveline, 1854 †
   13. Species Cyrtolites occultus Perner, 1903 †
   14. Species Cyrtolites ornatus Conrad, 1838 †
       1. Variety Cyrtolites ornatus var. minor Ulrich & Scofield, 1897 † accepted as Cyrtolites minor Ulrich & Scofield, 1897 † (unaccepted > superseded rank)
   15. Species Cyrtolites pileolus J. Hall, 1859 †
   16. Species Cyrtolites retrorsus Ulrich & Scofield, 1897 †
   17. Species Cyrtolites rugosus Barrande, 1903 †
   18. Species Cyrtolites seminulum Barrande, 1903 †
   19. Species Cyrtolites sinuosus J. Hall, 1879 †
   20. Species Cyrtolites thraivensis Cowper Reed, 1921 †
   21. Species Cyrtolites trentonensis Conrad, 1842 †
   22. Species Cyrtolites tuboides Barrande, 1903 †
   23. Species Cyrtolites undulatus Perner, 1903 †
   24. Subgenus Cyrtolites (Cyrtolites) Conrad, 1838 † accepted as Cyrtolites Conrad, 1838 † (unaccepted > superseded rank)
       1. Species Cyrtolites (Cyrtolites) claysferryensis Wahlman, 1992 † accepted as Cyrtolites claysferryensis Wahlman, 1992 † (unaccepted > superseded combination)
       2. Species Cyrtolites (Cyrtolites) hornyi Wahlman, 1992 † accepted as Cyrtolites hornyi Wahlman, 1992 † (unaccepted > superseded combination)
   25. Subgenus Cyrtolites (Paracyrtolites) Wahlman, 1992 † accepted as Paracyrtolites Wahlman, 1992 † (unaccepted > superseded rank)
       1. Species Cyrtolites (Paracyrtolites) carinatus Miller, 1874 † accepted as Paracyrtolites carinatus (Miller, 1874) † (unaccepted > superseded combination)
       2. Species Cyrtolites (Paracyrtolites) parvus Ulrich, 1897 † accepted as Paracyrtolites parvus (Ulrich, 1897) † (unaccepted > superseded combination)
       3. Species Cyrtolites (Paracyrtolites) subplanus Ulrich, 1897 † accepted as Paracyrtolites subplanus (Ulrich, 1897) † (unaccepted > superseded combination)
   26. Species Cyrtolites acutus Barrande, 1903 † accepted as Temnodiscus bicarinatus Perner, 1903 † (unaccepted > junior homonym, A junior homonym of Cyrtolites acutus Sowerby)
   27. Species Cyrtolites advena Barrande, 1903 † accepted as Neocyrtolites advena (Barrande, 1903) † (unaccepted > superseded combination)
   28. Species Cyrtolites carinatus Miller, 1874 † accepted as Paracyrtolites carinatus (Miller, 1874) † (unaccepted > superseded combination)
   29. Species Cyrtolites corniculum Eichwald, 1860 † accepted as Pollicina corniculum (Eichwald, 1860) † (original combination)
   30. Species Cyrtolites decorus Perner, 1903 † accepted as Yochelsonellis decorus (Perner, 1903) † (unaccepted > superseded combination)
   31. Species Cyrtolites eremita Barrande, 1903 † accepted as Cyclocyrtonella eremita (Barrande, 1903) † (unaccepted > superseded combination)
   32. Species Cyrtolites evolvens Barrande, 1903 † accepted as Cyrtodiscus evolvens (Barrande, 1903) † (unaccepted > superseded combination)
   33. Species Cyrtolites expansus J. Hall, 1859 † accepted as Cyrtonella expansa (J. Hall, 1859) † (unaccepted > superseded combination)
   34. Species Cyrtolites fallax Perner, 1903 † accepted as Yochelsonellis fallax (Perner, 1903) † (unaccepted > superseded combination)
   35. Species Cyrtolites fasciculatus Barrande, 1903 † accepted as Yochelsonellis fasciculatus (Barrande, 1903) † (unaccepted > superseded combination)
   36. Species Cyrtolites kokeni Perner, 1903 † accepted as Yochelsonellis kokeni (Perner, 1903) † (unaccepted > superseded combination)
   37. Species Cyrtolites mitella J. Hall, 1859 † accepted as Cyrtonella mitella (J. Hall, 1859) † (unaccepted > superseded combination)
   38. Species Cyrtolites parvus Ulrich, 1897 † accepted as Paracyrtolites parvus (Ulrich, 1897) † (unaccepted > superseded combination)
   39. Species Cyrtolites planicosta Perner, 1903 † accepted as Yochelsonellis planicosta (Perner, 1903) † (unaccepted > superseded combination)
   40. Species Cyrtolites subplanus Ulrich, 1897 † accepted as Paracyrtolites subplanus (Ulrich, 1897) † (unaccepted > superseded combination)
   41. Species Cyrtolites nitidulus E. O. Ulrich, 1879 † (uncertain > unassessed)
3. Genus Kolihadiscus Horný, 1992 †
   1. Species Kolihadiscus karlikensis Horný, 2005 †
   2. Species Kolihadiscus somerseti (Williams & Breger, 1916) †
   3. Species Kolihadiscus tureki Horný, 1992 †
4. Genus Neocyrtolites Horný, 1965 †
   1. Species Neocyrtolites advena (Barrande, 1903) †
5. Genus Paracyrtolites Wahlman, 1992 †
   1. Species Paracyrtolites carinatus (Miller, 1874) †
   2. Species Paracyrtolites parvus (Ulrich, 1897) †
   3. Species Paracyrtolites subplanus (Ulrich, 1897) †
6. Genus Quasisinuites Horný, 1997 †
   1. Species Quasisinuites rapax Horný, 1997 †
7. Genus Sinuitopsina Horný, 1997 †
   1. Species Sinuitopsina plasi Horný, 1997 †
8. Genus Sinuitopsis Perner, 1903 †
   1. Species Sinuitopsis congruens Cowper Reed, 1921 †
   2. Species Sinuitopsis evoluta (Perner, 1903) †
   3. Species Sinuitopsis hornyi Marek, 1963 †
   4. Species Sinuitopsis neglecta Barrande, 1903 †
      1. Variety Sinuitopsis neglecta var. transgrediens Perner, 1903 † accepted as Sinuitopsis neglecta Barrande, 1903 † (unaccepted > junior subjective synonym)
   5. Species Sinuitopsis subquadrata Pitcher, 1939 †
   6. Species Sinuitopsis acutilira (J. Hall, 1859) † accepted as Sinuitina acutilira (J. Hall, 1859) † (unaccepted > superseded combination)
   7. Species Sinuitopsis consobrina (Troedsson, 1919) † accepted as Tropidodiscus consobrinus (Troedsson, 1919) † (unaccepted > superseded combination)
   8. Species Sinuitopsis nodosa Perner, 1903 † accepted as Sinuitopsis neglecta Barrande, 1903 † (unaccepted > junior subjective synonym)
   9. Species Sinuitopsis kochiriensis Kobayashi, 1934 † (uncertain > taxon inquirendum)
9. Genus Microceras J. Hall, 1845 † accepted as Cyrtolites Conrad, 1838 † (unaccepted > junior subjective synonym)
   1. Species Microceras inornatus J. Hall, 1845 † accepted as Cyrtolites inornatum (J. Hall, 1845) † (unaccepted > superseded combination)
10. Genus Kepinospira Yu, 1961 † (uncertain)
    1. Species Kepinospira longtanensis H.-Z. Pan, 1978 † (uncertain > unassessed)

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