1. Family Bopyridae Rafinesque, 1815
2. Family Entoniscidae Kossmann, 1881
3. Family Ionidae H. Milne Edwards, 1840
4. Family Bopyria Rafinesque, 1815 accepted as Bopyridae Rafinesque, 1815 (unaccepted > misspelling - incorrect original spelling)
5. Family Colypuridae Richardson, 1905 accepted as Dajidae G. O. Sars, 1883 (unaccepted > junior subjective synonym)
6. Family Entonisciden Kossmann, 1881 accepted as Entoniscidae Kossmann, 1881 (unaccepted > misspelling - incorrect original spelling, see ICZN Article 11.7.2)
7. Family Ioniens H. Milne Edwards, 1840 accepted as Ionidae H. Milne Edwards, 1840 (unaccepted > misspelling - incorrect original spelling, see ICZN Article 11.7.2)
8. Family Microniscidae Giard & Bonnier, 1887 accepted as Bopyroidea incertae sedis ("Microniscus" is a larval stage of an epicaridean; at this point it is not possible to match the described species even to families, and they may not all even be Bopyroidea)
9. Family Rhabdochiridae Richardson, 1905 accepted as Vibiliidae Dana, 1852 (unaccepted > junior subjective synonym, the family name was incorrectly formed by Richardson, 1905)
10. Family Bopyroidea incertae sedis (temporary name)

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