1. Family Bathocyroidae Harbison & Madin, 1982
2. Family Bolinopsidae Bigelow, 1912
3. Family Eurhamphaeidae L. Agassiz, 1860
4. Family Kiyohimeidae Komai & Tokioka, 1940
5. Family Lampoctenidae Harbison, Matsumoto & Robison, 2001
6. Family Leucotheidae Krumbach, 1925
7. Family Lobatolampeidae Horita, 2000
8. Family Ocyropsidae Krumbach, 1925
9. Family Pterygioctenidae Mills & Dubois, 2023
10. Family Bolinidae Agassiz, 1860 accepted as Bolinopsidae Bigelow, 1912 (unaccepted > unavailable name, type genus jr homonym)
11. Family Calymmidae Gegenbaur, 1856 accepted as Ocyropsidae Krumbach, 1925 (unaccepted > unavailable name, type genus is junior homonym)
12. Family Calymnidae Gegenbaur, 1856 accepted as Calymmidae Gegenbaur, 1856 accepted as Ocyropsidae Krumbach, 1925 (unaccepted > misspelling - incorrect original spelling)
13. Family Deiopeidae Chun, 1880 accepted as Eurhamphaeidae L. Agassiz, 1860
14. Family Eucharidae Chun, 1880 accepted as Leucotheidae Krumbach, 1925 (unaccepted > junior homonym, of Eucharidae Récluz, 1869 (Bivalvia))
15. Family Kiyohimedae Komai & Tokioka, 1940 accepted as Kiyohimeidae Komai & Tokioka, 1940 (unaccepted > misspelling - incorrect original spelling)
16. Family Lesueuridae Chun, 1880 accepted as Lesueuriidae Chun, 1880 (unaccepted > misspelling - incorrect original spelling)
17. Family Leucothoeae Lesson, 1843 accepted as Leucotheidae Krumbach, 1925
18. Family Mnemiopsidae Krumbach, 1925 accepted as Bolinopsidae Bigelow, 1912 (unaccepted > junior subjective synonym)
19. Family Ocyroidae Lesson, 1843 accepted as Ocyropsidae Krumbach, 1925
20. Family Lobata incertae sedis (temporary name)
21. Family Lesueuriidae Chun, 1880 (uncertain > nomen dubium, status based on uncertainty of type species)
22. Family Mnemiidae Eschscholtz, 1829 (uncertain > nomen dubium)

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