_- Angustothyrididae
- Aulacothyropsidae
- Beecheriidae
- Bouchardiidae
- Cancellothyrididae
- Capillithyrididae
- Centronellidae
- Cheniothyrididae
- Chlidonophoridae
- Cimicinellidae
- Cnismatocentridae
- Cranaenidae
- Cryptonellidae
- Dallinidae
- Dictyothyrididae
- Dielasmatidae
- Dienopidae
- Dyscoliidae
- Eudesiidae
- Frenulinidae
- Gibbithyrididae
- Gillediidae
- Hercothyrididae
- Hesperithyrididae
- Heterelasminidae
- Inopinatarculidae
- Juvavellidae
- Kingenidae
- Kraussinidae
- Laqueidae
- Lissajousithyrididae
- Loboidothyrididae
- Lobothyrididae
- Meganterididae
- Megathyrididae
- Muirwoodellidae
- Mutationellidae
- Notothyrididae
- Nucleatidae
- Platidiidae
- Plectoconchidae
- Postepithyrididae
- Praeargyrothecidae
- Pseudodielasmatidae
- Pygopidae
- Rhipidiothyrididae
- Rhipidothyridae
- Rhipidothyrididae
- Sellithyrididae
- Stringocephalidae
- Stringoephalidae
- Tchegemithyrididae
- Tegulithyrididae
- Terebrataliidae
- Terebratellidae
- Terebratulidae
- Thaumatosiidae
- Tropidoleptidae
- Zeilleriidae
- Zugmayeriidae