- Cranchia armata (Joubin, 1898) accepted as Galiteuthis armata Joubin, 1898
- Cranchia scabra Leach, 1817
- Leachia atlantica (Degner, 1925)
- Leachia cyclura Lesueur, 1821
- Leachia dislocata R. E. Young, 1972
- Leachia lemur (S. S. Berry, 1920)
- Leachia pacifica (Issel, 1908)
- Liocranchia reinhardtii (Steenstrup, 1856)
- Liocranchia valdiviae Chun, 1910