After Clarkson, 1998 [based on House, 1988], Nied´zwiedzki, Salamon & Boczarowski, 2001, Hsiung, 2002- [“Les Fossiles”] and Work & Boardman, 2003

This is not for a long way a perfect presentation of diversity and sheer numbers of Ancyloceratid taxons. If any one has additional material and phylogeny and species... Please contact me... I simply don't have time to cypher out all of them... :-[

<==o †Ancyloceratida Wiedmann, 1966 [Ankyloceratina Wiedmann, 1966]
   |?- †Allocrioceras
   |?- †Crioceratites
   |?- †Hamites
   |?- †Hyphantoceras
   |?- †Paracrioceras
   |?- †Pseudothurmannia
   |?- †Ptychoceras
   |--o Ancyloceratoidea [Ancylocerataceae]
   |  `-- †Ancyloceras
   |--o Deshayesitoidea [Deshayesitaceae]
   |  `?-o †Deshayesitidae [also treated as Ammonitida: Desmoceratoidea]
   |     |-- †Deshayesites
   |     `-- †Dufrenoyia
   |--o Douvilleiceratoidea [Douvilleicerataceae]
   |  `?-o †Douvilleiceratidae [also treated as Ammonitida: Desmoceratoidea]
   |     |-- †Cheloniceras
   |     `-- †Douvilleiceras
   |--o †Scaphitoidea Gill, 1871 [Scaphitaceae]
   |  `--o †Scaphitidae
   |     `--o †Scaphitinae Gill, 1871
   |        |-- †Scaphites
   |        `--o †Discoscaphites Meek, 1871
   |           |-- †D. conradi (Morton, 1834) [Ammonites conradi Morton, 1834]
   |           |-- †D. gulosus (Morton, 1834) [Ammonites conradi var. petechialis Morton, 1834; Ammonites conradi var. gulosus Morton, 1834; Ammonites conradi var. navicularis Morton, 1834; Discoscaphites gulosus (Morton) Landman & Waage, 1993; Discoscaphites gulosus (Morton) Cobban & Kennedy, 1995; Discoscaphites gulosus (Morton) Kennedy et al., 1997; Discoscaphites gulosus (Morton) Landman et al, 2004]
   |           |-- †D. iris (Conrad, 1858) [Scaphites iris Conrad, 1858; Scaphites iris Conrad; Whitfield, 1892; Discoscaphites iris (Conrad) Stephenson, 1955; Discoscaphites iris (Conrad) Kennedy & Cobbam, 2000; Discoscaphites iris (Conrad) Landman et al., 2004]
   |           |-- †D. sphaeroidalis Kennedy & Cobban, 2000
   |           `-- †D. minardi Landman et al., 2004
   `--o †Turrilitoidea Gill, 1871 [Turrilitaceae]
      |?- †Turrilites
      `--o †Baculitidae Gill, 1871 [Eubaculitinae Brunnschweiler, 1966]
         |-- †Baculites
         `--o †Eubaculites Spath, 1926
            |-- †E. otacodensis (Stoliczka, 1866) [taxonomic history]
            |-- †E. carinatus (Morton, 1834) [taxonomic history]
            `-- †E. latecarinatus (Brunnschweiler, 1966) [taxonomic history]

Reference(s):