Cyclostomatida or Cyclostomata, are an order of stenolaemate bryozoans consisting of 7+ suborders, 59+ families, 373+ genera, 666+ species.
- Suborder Articulina (2+ families, 9+ genera, 10+ species)
- Family Crisiidae (8+ genera, 9+ species)
- Family Crisuliporidae (1+ genera, 1+ species)
- Suborder Paleotubuliporina (4+ families, 4+ genera, 47+ species)
- Family Corynotrypidae (4+ genera, 27+ species)
- Family Sagenellidae (2+ genera, 2+ species)
- Family Crownoporidae (7+ genera, 17+ species)
- Family Kukersellidae (1+ genera, 1+ species)
- Suborder Tubuliporina (22 families, 175+ genera, 384+ species)
- Family Stomatoporidae (8+ genera, 16+ species)
- Family Cinctiporidae (4+ genera, 8+ species)
- Family Oncousoeciidae (5+ genera, 47+ species)
- Family Oncousoeciidae (22+ genera, 69+ species)
- Family Tubuliporidae (7+ genera, 10+ species)
- Family Diploclemidae (1+ Genus 1+ species)
- Family Multiparsidae (1+ genera, 1+ species)
- Family Diploclemidae (40+ genera, 74+ species)
- Family Celluliporidae (8+ genera, 8+ species)
- Family Plagioeciidae (38+ genera, 64+ species)
- Family Eleidae (8+ genera, 8+ species)
- Family terviidae (4+ genera, 6+ species)
- Family Spiroporidae (1+ Genus, 1+ species)
- Family Diastoporidae (4+ genera, 7+ species)
- Family Annectocymidae (1+ genera, 5+ species)
- Family Bereniceidae (1+ genera, 1+ species)
- Family Filisparsidae (3+ genera, 3+ species)
- Family Mecynoeciidae (1+ genera, 1+ species)
- Family Diaperoeciidae (3+ genera, 3+ species)
- Family Entalophoridae (11+ genera, 11+ species)
- Family Pustuloporidae (3+ genera, 3+ species)
- Suborder Fascilculina (8+ families, 34+ genera, 55+ species)
- Family Frondiporidae (9+ genera, 11+ species)
- Family Fasciculiporidae (1+ genera, 1+ species)
- Family Fascigeridae (1+ genera, 1+ species)
- Family Theonoidae (14+ genera, 23+ species)
- Family Actinoporidae (1+ genera, 9+ species)
- Family Siphoniotyphlidae (2+ genera, 2+ species)
- Family Hastingsiidae (1+ genera, 3+ species)
- Family Semiceidae (5+ genera, 5+ species)
- Suborder Cancellata (11+ families, 89+ genera, 99+ species)
- Family Horneridae (5+ genera, 8+ species)
- Family Stigmatoechidae (1+ genera, 1+ species)
- Family Stegohorneridae (1+ genera, 1+ species)
- Family Petaloporidae (13+ genera, 13+ species)
- Family Calvetiidae (1+ genera, 1+ species)
- Family Crisinidae (15+ genera, 18+ species)
- Family Crassodiscoporidae (1+ genera, 1+ species)
- Family Ctyididae (27+ genera, 28+ species)
- Family Pseudidmoneidae (1+ genera, 1+ species)
- Family Radioporidae (23+ genera, 26+ species)
- Family Canaliporidae (1+ genera, 1+ species)
- Suborder Cerioporina (10+ families, 60+ genera, 69+ species)
- Family Cerioporidae (40+ genera, 47+ species)
- Family Heteroporidae (2+ genera, 2+ species)
- Family Leiosoeciidae (4+ genera, 4+ species)
- Family Densiporidae (1+ genera, 1+ species)
- Family Canuellidae (1+ genera, 1+ species)
- Family Tretocycloeciidae (1+ genera, 1+ species)
- Family Cavidae (3+ genera, 5+ species)
- Family Corymboporidae (4+ genera, 4+ species)
- Family Gungellidae (1+ genera, 1+ species)
- Family Pseudocerioporidae (1+ genera, 1+ species)
- Suborder Rectangulata (2+ families, 2+ genera, 2+ species)
- Family Lichenoporidae (1+ genera, 1+ species)
- Family Disporellidae (1+ genera, 1+ species)