1. Family Aulacoctenidae Lindsay & Miyake, 2007
2. Family Bathyctenidae Mortensen, 1913
3. Family Chlorellidae Stechow, 1921
4. Family Cryptocodidae Leloup, 1938
5. Family Ctenellidae C. Carré & D. Carré, 1993
6. Family Cydippidae Gegenbaur, 1856
7. Family Dryodoridae Harbison, 1996
8. Family Euplokamididae Mills, 1987
9. Family Haeckeliidae Krumbach, 1925
10. Family Lampeidae Stechow, 1921
11. Family Mertensiidae L. Agassiz, 1860
12. Family Pukiidae Gershwin, Zeidler & Davie, 2010
13. Family Vampyroctenidae Townsend, Damian-Serrano & Whelan, 2020
14. Family Euchloridae Mortensen, 1912 accepted as Chlorellidae Stechow, 1921 (unaccepted > junior homonym, junior homonym of Euchloridae Hope 1839, Coleoptera)
15. Family Eulamptiidae Krumbach, 1925 accepted as Lampeidae Stechow, 1921 (unaccepted > junior objective synonym, based on same type genus (Lampea Stechow, 1921 = Eulampetia Krubach, 1925; both replacement names for Lampea Chun 1879))
16. Family Euplokamidae Mills, 1987 accepted as Euplokamididae Mills, 1987 (unaccepted > misspelling - incorrect original spelling)
17. Family Pleurobrachiadae Chun, 1880 accepted as Pleurobrachiidae Chun, 1880 accepted as Cydippidae Gegenbaur, 1856 (unaccepted > misspelling - incorrect original spelling)
18. Family Pleurobrachiidae Chun, 1880 accepted as Cydippidae Gegenbaur, 1856 (unaccepted > junior objective synonym)
19. Family Cydippida incertae sedis (temporary name)
20. Family Callianiridae Eschscholtz, 1829 (uncertain, type species of type genus is uncertain)

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