_- Acervulariidae
- Alveolitidae
- Amplexidae
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- Auloporidae
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- Bethanyphyllidae
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- Coenitidae
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- Cyathaxoniidae
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- Durhaminidae
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- Expressophyllidae
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- Halysitidae
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- Heliolitidae
- Holmophyllidae
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- Kleopatrinidae
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- Pseudofavositidae
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- Roemeriidae
- Romingeriidae
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- Stereolasmatidae
- Streptelasmatidae
- Stringophyllidae
- Syringolitidae
- Syringophyllidae
- Tetradiidae
- Tetraporellidae
- Theciidae
- Thecostegitidae
- Timorphyllidae
- Tryplasmatidae
- Uraliniidae
- Verbeekiellidae
- Waagenophyllidae
- Zaphrentidae
- Zaphrentoididae