Abrytusites Nikolov & Breskovski, 1969 † (verified source for family)
Abrytusitidae Breskovski, 1977 † (basis of record)
Acanthoceratida † (basis of record)
Acanthoceratidae Hyatt, 1900 † (taxonomy source)
Acrioceratoides Cooper, 2024 † (original description)
Aegocrioceratidae Vermeulen, 2006 † (taxonomy source)
Alabushevites Cooper, 2024 † (original description)
Algoiceras Cooper, 2024 † (original description)
Anahamulinidae Breistroffer, 1952 † (taxonomy source)
Anatetragonites Cooper, 2024 † (original description)
Arkadieviceras Cooper, 2024 † (original description)
Arnouldsagetia Cooper, 2024 † (original description)
Askerswellites Cooper, 2024 † (original description)
Aspidoceratidae Zittel, 1895 † (taxonomy source)
Astrodiscitella Cooper, 2024 † (original description)
Astrodiscus Saveliev, 1973 † accepted as Astrodiscitella Cooper, 2024 † (source of synonymy)
Barremites Kilian, 1913 † (verified source for family)
Barremitidae Breskovski, 1977 † (basis of record)
Barroisiceras Grossouvre, 1894 † (verified source for family)
Barroisiceratidae Basse, 1947 † (basis of record)
Baylissites Cooper, 2024 † (original description)
Begastrella Cooper, 2024 † (original description)
Beloventer Cooper, 2024 † (original description)
Beudanticeras Hitzel, 1905 † (verified source for family)
Beudanticeratidae Breistroffer, 1953 † (basis of record)
Binckhorstella Cooper, 2024 † (original description)
Bochianitidae Spath, 1922 † (taxonomy source)
Brancoceratidae Spath, 1933 † (taxonomy source)
Brendaites Cooper, 2024 † (original description)
Calycoceras Hyatt in Eastman-Zittel, 1900 † (verified source for family)
Calycoceratidae Cooper, 2024 † (original description)
Catumbellaites Cooper, 2024 † (original description)
Caucasiptychoceras Cooper, 2024 † (original description)
Chikkimites Cooper, 2024 † (original description)
Cinctibrancoceras Cooper, 2024 † (original description)
Cleoniceras Parona & Bonarelli, 1897 † (verified source for family)
Cleoniceratidae Whitehouse, 1926 † (basis of record)
Cognacella Cooper, 2024 † (original description)
Coilopoceratidae Hyatt, 1903 † (taxonomy source)
Collignoniceratidae Wright & Wright, 1951 † (taxonomy source)
Companyceras Cooper, 2024 † (original description)
Delametteiceras Cooper, 2024 † (original description)
Delanoyiceras Cooper, 2024 † (original description)
Desmoceratidae Zittel, 1895 † (taxonomy source)
Dieniites Cooper, 2024 † (original description)
Drushchitzia Cooper, 2024 † (original description)
Dumasiceras Cooper, 2024 † (original description)
Ebisuites Cooper, 2024 † (original description)
Elninoceras Cooper, 2024 † (original description)
Emilavramia Cooper, 2024 † (original description)
Eolewesiceras Cooper, 2024 † (original description)
Epikossmaticeras Cooper, 2024 † (original description)
Erioliceras van Hoepen, 1955 † (verified source for family)
Erioliceratidae van Hoepen, 1955 † (basis of record)
Euomphaloceras Spath, 1923 † (verified source for family)
Euomphaloceratidae Cooper, 1978 † (basis of record)
Eurokossmaticeras Cooper, 2024 † (original description)
Flickiidae Adkins, 1928 † (taxonomy source)
Forbesiceratidae Wright, 1952 † (taxonomy source)
Futakamiites Cooper, 2024 † (original description)
Galloisiceras Cooper, 2024 † (original description)
Hanhaites Cooper, 2024 † (original description)
Hattinites Cooper, 2024 † (original description)
Hendersoniceras Cooper, 2024 † (original description)
Hokkaidoites Cooper, 2024 † (original description)
Holcodiscidae Spath, 1924 † (taxonomy source)
Hookiceras Cooper, 2024 † (original description)
Hoplitidae Douvillé, 1890 † (taxonomy source)
Hypophylloceras Salfeld, 1924 † (verified source for family)
Hypophylloceratidae Spath, 1927 † (basis of record)
Idiohamitella Cooper, 2024 † (original description)
Idoceras Burckhardt, 1906 † (verified source for family)
Idoceratidae Spath, 1924 † (basis of record)
Ixioniceras Cooper, 2024 † (original description)
Johndixonites Cooper, 2024 † (original description)
Jolyites Cooper, 2024 † (original description)
Juigneticeras Cooper, 2024 † (original description)
Karakaschella Cooper, 2024 † (original description)
Katerinella Cooper, 2024 † (original description)
Keithyoungites Cooper, 2024 † (original description)
Kollmanniceras Cooper, 2024 † (original description)
Kossmaticeratidae Spath, 1922 † (taxonomy source)
Kurdestanella Cooper, 2024 † (original description)
Kyushuites Cooper, 2024 † (original description)
Lafresnayella Cooper, 2024 † (original description)
Lambirisites Cooper, 2024 † (original description)
Laqueoceras Kakabadze & Hoedemaeker, 2004 † accepted as Laqueoceratites Cooper, 2024 † (source of synonymy)
Laqueoceratites Cooper, 2024 † (original description)
Lautidiscus Cooper, 2024 † (original description)
Lenticeratidae Hyatt, 1903 † (taxonomy source)
Leptoceras Uhlig, 1883 † (verified source for family)
Leptoceratidae Manolov, 1962 † (basis of record)
Leymeriellidae Breistroffer, 1951 † (taxonomy source)
Lukenedera Cooper, 2024 † (original description)
Lyelliceratidae Spath, 1921 † (taxonomy source)
Lytobaculites Cooper, 2024 † (original description)
Malganisoceras Cooper, 2024 † (original description)
Mammites Laube & Bruder, 1887 † (verified source for family)
Mammitidae Hyatt, 1900 † (basis of record)
Mangyschlakiceras Cooper, 2024 † (original description)

 Taxonomic remark

 for Astrodiscitella Cooper, 2024 †

replacement name for Astrodiscus Saveliev, 1973 (nec Schulze, 1875) [details]

 Taxonomic remark

 for Laqueoceratites Cooper, 2024 †

replacement name for Laqueoceras Kakabadze & Hoedemaeker, 2004 (nec Lange, 1925) [details]