- Helicocranchia joubini (G. L. Voss, 1962) (uncertain > nomen dubium)
- Helicocranchia papillata (G. L. Voss, 1960)
- Illex illecebrosus (Lesueur, 1821)
- Illex oxygonius Roper, Lu & Mangold, 1969
- Leachia cyclura Lesueur, 1821
- Leachia lemur (S. S. Berry, 1920)
- Megalocranchia corona (S. S. Berry, 1920) (uncertain > taxon inquirendum)
- Megalocranchia oceanica (G. L. Voss, 1960)
- Teuthowenia corona S. S. Berry, 1920 accepted as Megalocranchia corona (S. S. Berry, 1920)