| Scientific Name | Author | English Name |
|---|---|---|
| Cirroteuthis hoylei | Robson, 1932 | |
| Cirroteuthis muelleri | Eschricht, 1836 | Müller's cirroctopod |
| Cirrothauma magna | (Hoyle, 1885) | Large cirroctopod |
| Cirrothauma murrayi | Chun, 1911 | Murray’s cirroctopod |
| Froekenia clara | Hoyle, 1904 |