_- Amphistrophiidae
- Bimuriidae
- Christianiidae
- Douvillinidae
- Eopholidostrophiidae
- Fardeniidae
- Foliomenidae
- Glyptomenidae
- Hesperomenidae
- Leptaenoideidae
- Leptellinidae
- Leptestiidae
- Leptostrophiidae
- Plectambonitidae
- Rafinesquinidae
- Shaleriidae
- Sowerbyellidae
- Stropheodontidae
- Strophodontidae
- Strophomenidae
- Strophonellidae
- Syndielasmatidae
- Taffiidae
- Xenambonitidae