1. Family Australomedusidae Russell, 1971
2. Family Balellidae Stechow, 1922
3. Family Bougainvilliidae Lütken, 1850
4. Family Bythotiaridae Maas, 1905
5. Family Clathrozoellidae Peña Cantero, Vervoort & Watson, 2003
6. Family Cordylophoridae von Lendenfeld, 1885
7. Family Cytaeididae L. Agassiz, 1862
8. Family Eucodoniidae Schuchert, 1996
9. Family Eudendriidae L. Agassiz, 1862
10. Family Heterotentaculidae Schuchert, 2010
11. Family Hydractiniidae L. Agassiz, 1862
12. Family Jeanbouilloniidae Pagès, Flood & Youngbluth, 2006
13. Family Magapiidae Schuchert & Bouillon, 2009
14. Family Niobiidae Petersen, 1979
15. Family Oceaniidae Eschscholtz, 1829
16. Family Pandeidae Haeckel, 1879
17. Family Proboscidactylidae Hand & Hendrickson, 1950
18. Family Protiaridae Haeckel, 1879
19. Family Ptilocodiidae Coward, 1909
20. Family Rathkeidae Russell, 1953
21. Family Rhysiidae Brinckmann, 1965
22. Family Similiclavidae Calder, Choong & McDaniel, 2015
23. Family Stylasteridae Gray, 1847
24. Family Trichydridae Hincks, 1868
25. Family Tubiclavoididae Moura, Cunha & Schuchert, 2007
26. Family Amphinemidae Haeckel, 1879 accepted as Pandeidae Haeckel, 1879 (unaccepted > junior subjective synonym)
27. Family Atractylidae Hincks, 1868 accepted as Bougainvilliidae Lütken, 1850 (synonym)
28. Family Bimeridae Allman, 1872 accepted as Bougainvilliidae Lütken, 1850 (synyonym)
29. Family Bougainvilleae Lütken, 1850 accepted as Bougainvilliidae Lütken, 1850 (incorrect name formation)
30. Family Calycopsidae Mayer, 1910 accepted as Bythotiaridae Maas, 1905 (unaccepted > junior subjective synonym)
31. Family Clavidae McCrady, 1859 accepted as Hydractiniidae L. Agassiz, 1862 (unaccepted > junior subjective synonym)
32. Family Clavopsellidae Thiel, 1962 accepted as Bougainvilliidae Lütken, 1850 (synonym)
33. Family Dicorynidae Allman, 1864 accepted as Bougainvilliidae Lütken, 1850 (synonym)
34. Subfamily Dinemidae Haeckel, 1879 accepted as Pandeidae Haeckel, 1879 (invalid name)
35. Infraorder Eudendroidae accepted as Eudendriidae L. Agassiz, 1862
36. Family Hippocrenidae McCrady, 1959 accepted as Bougainvilliidae Lütken, 1850 (synonym)
37. Family Hydrichthyidae Stechow, 1922 accepted as Pandeidae Haeckel, 1879
38. Family Janariidae Stechow, 1921 accepted as Hydractiniidae L. Agassiz, 1862 (unaccepted > junior subjective synonym)
39. Family Laingiidae Bouillon, 1978 accepted as Magapiidae Schuchert & Bouillon, 2009 (based on invalid genus)
40. Family Lizusidae Haeckel, 1879 accepted as Bougainvilliidae Lütken, 1850
41. Subfamily Lizziinae Russell, 1953 accepted as Rathkeidae Russell, 1953 (synonym)
42. Family Margelidae Haeckel, 1879 accepted as Bougainvilliidae Lütken, 1850 (synonym)
43. Superfamily Margelina Haeckel, 1879 (invalid grouping (polyphyletic))
44. Family Myrionemidae Pictet, 1893 accepted as Eudendriidae L. Agassiz, 1862 (unaccepted > junior subjective synonym)
45. Family Nemopsidae L. Agassiz, 1862 accepted as Bougainvilliidae Lütken, 1850 (synonym)
46. Subfamily Pachycordylini Cockerell, 1911 accepted as Bougainvilliidae Lütken, 1850 (synonym)
47. Family Pandeiidae Haeckel, 1879 accepted as Pandeidae Haeckel, 1879 (unaccepted > misspelling - incorrect subsequent spelling)
48. Family Platystomidae Zhang, 1982 accepted as Australomedusidae Russell, 1971 (invalid name as based on invalid genus)
49. Family Russelliidae Kramp, 1957 accepted as Heterotentaculidae Schuchert, 2010 (invalid name)
50. Family Thamnostomidae Haeckel, 1879 accepted as Bougainvilliidae Lütken, 1850 (synonym)
51. Family Tiaridae Haeckel, 1879 accepted as Pandeidae Haeckel, 1879 (invalid name, synonym)
52. Family Tubidendridae Nutting, 1906 accepted as Balellidae Stechow, 1922 (incorrect name formation on not existant genus)
53. Family Filifera incertae sedis (temporary name)
54. Infraorder Pandeida (uncertain > nomen dubium, unfounded grouping)

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