• Chi Onychoteuthis Lichtenstein, 1818
  • Onychoteuthis banksii (Leach, 1817) – common clubhook squid
  • Onychoteuthis bergii* Lichtenstein, 1818
  • Onychoteuthis mollis* Appelloef, 1891
  • Onychoteuthis compacta Berry, 1913
  • Onychoteuthis borealijaponica Okada, 1927 – boreal clubhook squid
  • Onychoteuthis meridiopacifica Rancurel & Okutani, 1990
  • Onychoteuthis lacrima Bolstad & Seki in Bolstad, 2008
  • Onychoteuthis prolata Bolstad, Vecchione & Young in Bolstad, 2008
  • Onychoteuthis horstkottei Bolstad, 2010
• Chi Onykia Lesueur, 1821 (gồm các loài trứic đây đặt trong Moroteuthis)
  • Phân chi Onykia
    • Onykia carriboea Lesueur, 1821 – tropical clubhook squid
    • Onykia robusta (Verrill, 1876) – robust clubhook squid
    • Onykia loennbergii (Ishikawa & Wakiya, 1914) – Japanese hooked squid
    • Onykia aequatorialis* Thiele, 1920
    • Onykia robsoni (William Adam (malacologist)|Adam]], 1962) – rugose hooked squid
    • Onykia indica* Okutani, 1981
  • Subgenus Moroteuthopsis
    • Onykia ingens (Smith, 1881) – greater hooked squid
  • incertae sedis
    • ?Onykia appelloefi* Pfeffer, 1900
• chi Ancistroteuthis Gray, 1849
  • Ancistroteuthis lichtensteinii (Ferussac, 1835)
• Chi Kondakovia Filippova, 1972
  • Kondakovia longimana Filippova, 1972
  • Kondakovia nigmatullini Laptikhovsky, Arkhipkin & Bolstad, 2008
• Chi Notonykia Nesis, Roeleveld & Nikitina, 1998
  • Notonykia africanae Nesis, Roeleveld & Nikitina, 1998
  • Notonykia nesisi Bolstad, 2007
• Chi Filippovia Bolstad, 2010
  • Filippovia knipovitchi (Filippova, 1972) – smooth hooked squid
• Chi Walvisteuthis Nesis & Nikitina, 1986
  • Walvisteuthis jeremiahi Vecchione, Sosnowski & Young, 2015
  • Walvisteuthis rancureli (Okutani, 1981)
  • Walvisteuthis virilis Nesis & Nikitina, 1986
  • Walvisteuthis youngorum (Bolstad, 2010)

(*) chỉ ra rằng taxi yêu cầu điều tra phân loại hơn nữa