1. Family Acaulidae Fraser, 1924
2. Family Amalthaeidae Haeckel, 1879 accepted as Corymorphidae Allman, 1872 (synonym)
3. Section Aplanulata incertae sedis (temporary name)
4. Family Boeromedusidae Bouillon, 1995
5. Family Boreohydridae Westblad, 1947
6. Family Branchiocerianthidae Broch, 1916 accepted as Corymorphidae Allman, 1872 (synonym)
7. Family Candelabridae Stechow, 1921
8. Subfamily Candelabrinae Stechow, 1921 accepted as Candelabridae Stechow, 1921 (promoted to family level)
9. Family Corymorphidae Allman, 1872
10. Subfamily Euphysidae Haeckel, 1879 accepted as Corymorphidae Allman, 1872 (synonym)
11. Family Hybocodonidae Allman, 1872 accepted as Tubulariidae Goldfuss, 1818 (synonym)
12. Family Hydridae Dana, 1846
13. Infraorder Hypolytidae accepted as Corymorphidae Allman, 1872 (synonym)
14. Family Margelopsidae Mayer, 1910
15. Family Monocaulidae Allman, 1872 accepted as Corymorphidae Allman, 1872 (synonym)
16. Family Myriothelidae Hincks, 1868 accepted as Candelabridae Stechow, 1921 (synonym)
17. Family Paracorynidae Picard, 1957
18. Infraorder Paragoteidae accepted as Corymorphidae Allman, 1872 (synonym)
19. Family Pelagohydridae Dendy, 1902 accepted as Margelopsidae Mayer, 1910 (not in use)
20. Family Protohydridae Allman, 1888
21. Subfamily Steenstrupiini Cockerell, 1911 accepted as Corymorphidae Allman, 1872 (synonym)
22. Family Symplectaneidae Fraser, 1941 accepted as Candelabridae Stechow, 1921 (synonym)
23. Subfamily Trichorhizini Cockerell, 1911 accepted as Corymorphidae Allman, 1872 (synonym)
24. Family Tubulariae Goldfuss, 1818 accepted as Tubulariidae Goldfuss, 1818 (old spelling)
25. Superfamily Tubulariida accepted as Tubulariidae Goldfuss, 1818 (unfounded grouping)
26. Family Tubulariidae Goldfuss, 1818

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