1. Family Aequoreidae Eschscholtz, 1829
2. Family Barcinidae Gili, Bouillon, Pagès, Palanques & Puig, 1999
3. Family Blackfordiidae Bouillon, 1984
4. Family Bonneviellidae Broch, 1909
5. Family Campanulariidae Johnston, 1836
6. Family Campanulinidae Hincks, 1868
7. Family Cirrholoveniidae Bouillon, 1984
8. Family Clathrozoidae Stechow, 1921
9. Family Dipleurosomatidae Boeck, 1868
10. Family Eirenidae Haeckel, 1879
11. Family Gonaxiidae Maggioni, 2021
12. Family Haleciidae Hincks, 1868
13. Family Hebellidae Fraser, 1912
14. Family Lafoeidae Hincks, 1868
15. Family Laodiceidae Agassiz, 1862
16. Family Lineolariidae Allman, 1864
17. Family Lovenellidae Russell, 1953
18. Family Malagazziidae Bouillon, 1984
19. Family Melicertidae Agassiz, 1862
20. Family Mitrocomidae Haeckel, 1879
21. Family Octocannoididae Bouillon, Boero & Seghers, 1991
22. Family Orchistomatidae Bouillon, 1984
23. Family Phialellidae Russell, 1953
24. Family Phialuciidae Kramp, 1955
25. Superfamily Plumularioidea McCrady, 1859
26. Superfamily Sertularioidea Lamouroux, 1812
27. Family Staurothecidae Maronna et al., 2016
28. Family Sugiuridae Bouillon, 1984
29. Family Symplectoscyphidae Maronna et al., 2016
30. Family Syntheciidae Marktanner-Turneretscher, 1890
31. Family Teclaiidae Bouillon et al., 2000
32. Family Tiarannidae Russell, 1940
33. Family Tiaropsidae Boero, Bouillon & Danovaro, 1987
34. Family Wuvulidae Schuchert & Collins, 2021
35. Family Zygophylacidae Quelch, 1885
36. Family Aequoridae Eschscholtz, 1829 accepted as Aequoreidae Eschscholtz, 1829 (unaccepted > misspelling - incorrect subsequent spelling, spelling variant)
37. Family Berenicidae Eschscholtz, 1829 accepted as Dipleurosomatidae Boeck, 1868 (not in use)
38. Family Cannotidae Haeckel, 1879 accepted as Dipleurosomatidae Boeck, 1868 (synonym)
39. Family Clathrozonidae Hirohito, 1967 accepted as Clathrozoidae Stechow, 1921 (spelling error)
40. Suborder Conica accepted as Leptothecata (polyphyletic assemblage)
41. Family Dipleurosomidae Boeck, 1866 accepted as Dipleurosomatidae Boeck, 1868 (incorrect name formation)
42. Family Eucheilotidae Bouillon, 1984 accepted as Lovenellidae Russell, 1953 (synonym)
43. Family Eucopidae Gegenbaur, 1857 accepted as Campanulariidae Johnston, 1836 (synonym)
44. Family Eutimidae Haeckel, 1879 accepted as Eirenidae Haeckel, 1879
45. Family Hydrocerathinidae Spencer, 1891 accepted as Clathrozoidae Stechow, 1921 (incorrectly formed family name as not based on an existing genus)
46. Family Irenidae Haeckel, 1879 accepted as Eirenidae Haeckel, 1879 (incorrect name formation)
47. Family Obelidae Haeckel, 1879 accepted as Campanulariidae Johnston, 1836 (synonym)
48. Family Orchistomidae Bouillon, 1984 accepted as Orchistomatidae Bouillon, 1984 (incorrect formation of family name)
49. Family Phialidae Haeckel, 1879 accepted as Lovenellidae Russell, 1953 (synonym)
50. Family Polycannidae Haeckel, 1879 accepted as Aequoreidae Eschscholtz, 1829 (synonym)
51. Suborder Proboscoida accepted as Leptothecata (polyphyletic assemblage)
52. Family Sertulariae Lamouroux, 1812 accepted as Sertulariidae Lamouroux, 1812 (incorrect family name suffix)
53. Family Zygocannidae Haeckel, 1879 accepted as Aequoreidae Eschscholtz, 1829 (synonym)
54. Suborder Leptothecata incertae sedis (temporary name)
55. Family Octocannidae Haeckel, 1879 accepted as Malagazziidae Bouillon, 1984 (uncertain > nomen dubium)

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