_- Acropyramididae
- Albaillellidae
- Amphipyndacidae
- Angulobracchiidae
- Archaeodictyomitridae
- Archaeospongoprunidae
- Archocyrtiidae
- Bagotidae
- Bekomidae
- Bulbocyrtiidae
- Canoptidae
- Capnuchosphaeridae
- Cavaspongiidae
- Ceratoikiscidae
- Conocaryommidae
- Cuniculiformidae
- Emiluviidae
- Entactiniidae
- Eptingiidae
- Eucyrtidiellidae
- Eucyrtidiidae
- Eucyrtiidae
- Farcidae
- Follicucullidae
- Gomberellidae
- Hagiastridae
- Hexalonchidae
- Hexaporobrachiidae
- Hilarisiregidae
- Hindeosphaeridae
- Holoeciscidae
- Hsuidae
- Inaniguttidae
- Larnacillidae
- Lithocampida
- Lophocyrtiidae
- Lophophaenidae
- Neosciadiocapsidae
- Orbiculiformidae
- Ormistonellidae
- Orosphaeridae
- Palaeoscenidiidae
- Pantanelliidae
- Parvicingulidae
- Parvivaccidae
- Patulibracchiidae
- Phaseliformidae
- Popofskyellidae
- Poulpidae
- Praeconocaryommidae
- Pseudoaulophacidae
- Pseudodictyomitridae
- Pseudorotasphaeridae
- Pseudosaturniformidae
- Pylentonemidae
- Pyramispongiidae
- Quinquecapsulariidae
- Ruesticyrtiidae
- Ruzhencevispongidae
- Saturnalidae
- Sethocapsidae
- Spongocapsulidae
- Sponguridae
- Stylosphaeridae
- Syringocapsidae
- Theocotylidae
- Triospyrididae
- Tripedurnulidae
- Tritrabidae
- Ultranaporidae
- Williriedellidae
- Xiphostylidae
- Xitidae