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

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