1. Family Allodiscocotylidae Tripathi, 1959
2. Family Allopyragraphoridae Yamaguti, 1953
3. Family Anchorophoridae Bychowsky & Nagibina, 1958
4. Family Axinidae Monticelli, 1903
5. Family Bychowskicotylidae Lebedev, 1969
6. Family Chauhaneidae Euzet & Trilles, 1960
7. Family Diclidophoridae Cerfontaine, 1895
8. Family Diplozoidae Palombi, 1949
9. Family Discocotylidae Price, 1936
10. Family Gastrocotylidae Price, 1943
11. Family Gotocotylidae Yamaguti, 1963
12. Family Heteraxinidae Unnithan, 1957
13. Family Heteromicrocotylidae Unnithan, 1961
14. Family Hexostomatidae Price, 1936
15. Family Macrovalvitrematidae Yamaguti, 1963
16. Family Mazocraeidae Price, 1936
17. Family Mazoplectidae Mamaev & Slipchenko, 1975
18. Family Megamicrocotylidae Mamaev, 1990
19. Family Microcotylidae Taschenberg, 1879
20. Family Monaxinoididae Mamaev, 1990
21. Family Octolabeidae Yamaguti, 1963
22. Family Paramonaxinidae Mamaev, 1990
23. Family Plectanocotylidae Monticelli, 1903
24. Family Protomicrocotylidae Johnston & Tiegs, 1922
25. Family Pseudodiclidophoridae Yamaguti, 1965
26. Family Pterinotrematidae Bychowsky & Nagibina, 1959
27. Family Pyragraphoridae Yamaguti, 1963
28. Family Rhinecotylidae Lebedev, 1979
29. Family Thoracocotylidae Price, 1936
30. Family Allomicrocotylidae Yamaguti, 1965 accepted as Allopyragraphoridae Yamaguti, 1953 (unaccepted > junior subjective synonym)
31. Family Anthocotylidae Bychowsky, 1957 accepted as Discocotylidae Price, 1936 (synonym)
32. Family Bicotylophoridae Amato, 1994 accepted as Discocotylidae Price, 1936 (synonym)
33. Family Calyxinellidae Lebedev, 1972 accepted as Bychowskicotylidae Lebedev, 1969 (Synonym)
34. Family Cemocotylidae Price, 1962 accepted as Heteraxinidae Unnithan, 1957 (synonym)
35. Family Gephyrocotylidae Unnithan, 1966 accepted as Pseudodiclidophoridae Yamaguti, 1965 (Synonym)
36. Suborder Hexostomatinea accepted as Mazocraeidea (unaccepted > junior subjective synonym)
37. Family Megaloncidae Yamaguti, 1958 accepted as Diclidophoridae Cerfontaine, 1895 (synonym)
38. Superfamily Megaloncidea Yamaguti, 1958 accepted as Mazocraeidea
39. Family Neothoracocotylidae Lebedev, 1969 accepted as Thoracocotylidae Price, 1936 (synonym)

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