Froekenia clara W.E. Hoyle, 1904
Stauroteuthis gilchristi (C.W. Robson, 1924)
Cirroteuthis hoylei C.W. Robson, 1932
Cirrothauma magna (W.E. Hoyle, 1885) Atlantic Ocean
Cirroteuthis massyae G.J. Von Grimpe, 1920
Cirroteuthis muelleri D.F. Eschricht, 1836 Northern Atlantic and Pacific
Cirrothauma murrayi C. Chun, 1911
Stauroteuthis syrtensis A.E. Verrill, 1879