| Scientific Name | Author | English Name |
|---|---|---|
| Cycloteuthis akimushkini | Filippova, 1968 | |
| Cycloteuthis sirventi | Joubin, 1919 | Sirvent's disc-fin squid |
| Discoteuthis discus | Young & Roper, 1969 | Rounded disc-fin squid |
| Discoteuthis laciniosa | Young & Roper, 1969 | Crenellate disc-fin squid |