Craniida
Acanthocrania Williams, 1943
Ancistrocrania Dall, 1877
Celidocrania Liu, Zhu & Xue, 1985
Crania Retzius, 1781
Craniella Oehlert, 1888
Craniscus Dall, 1871
Cranopsis Dall, 1871
Danocrania Rosenkrantz, 1964
Isocrania Jaekel, 1902
Lepidocrania Cooper & Grant, 1974
Mesocrania Smirnova, 1997
Nematocrania Grant, 1976
Neoancistrocrania Laurin, 1992
Novocrania Lee & Brunton, 2001
Orthisocrania Rowell, 1963
Petrocrania Raymond, 1911
Philhedra Koken, 1889
Philhedrella Kozlowski, 1929
Pseudocrania M'Coy, 1851
Valdiviathyris Helmcke, 1940
