After Poyato-Ariza & Wenz, 2002, Poyato-Ariza, 2003, and Machado & Brito, 2006

<==o †Pycnodontiformes Berg, 1937 [Pycnodontidae in Carroll, 1988]
   |-- †Paramesturus stuehmeri Taverne, 1981, U.Cret. NEu.
   `--+--o †Mesturus Wagner, 1862, U.Jur. Eu. [Mesturidae Nursall, 1996]
      |  |-- †M. verrocosus Wagner, 1862
      |  `-- †M. leedsi Woodward, 1895
      `--+--o †Micropycnodon Hibbard & Graffham, 1945 [Pycnomicrodon] U.Cret. NA. 
         |  |-- †M. kansasensis (Hibbard & Graffham, 1941) [Pycnomicrodon kansasensis Hibbard & Graffham, 1941]
         |  `-- †M. gaynaisensis Nursall, 1999
         `--+--o †Gyrodus Agassiz, 1833 [Stromateus] [Gyrodontidae Berg, 1940] M.Jur.-L.Cret. Eu.. U.Jur. WInd., U.Jur.-?U.Cret. NA., U.Cret. Af.
            |  |?- †G. sp. [Mesturus cordillera]
            |  |?- †G. sp. [G. goweri (nomen dubium)] M.Jur. WEu.
            |  |?- †G. atherfieldensis White, 1927 [assignment questionable]
            |  |?- †G. minor Agassiz, 1844
            |  |?- †G. contiguidens
            |  |?- †G  sculptus
            |  |?- †G. ellipticus
            |  |-- †G. syriacus Fraas, 1878, U.Cret. SWAs.
            |  |-- †G. hexagonus (Blainville, 1818) [Stromateus hexagonus Blainville, 1818]
            |  `-- †G. circularis Agassiz, 1843
            `--+-- †Arduafrons prominoris Frickhinger, 1991
               `--+--o †Brembodontidae Tintori, 1981 [incl. Gibbodontidae]
                  |  |-- †Gibbodon cenensis Tintori, 1981 [Gibbodontidae]
                  |  `-- †Brembodus ridens Tintori, 1981
                  `--o †Pycnodontoidei Nursall, 1996
                     |==o †Eomesodon Woodward, 1918, U.Trias. U.Jur. Eu. [paraphyletic]
                     |  |-- †E. liassicus (Egerton, 1855) [Pycnodus liassicus Egerton, 1855]
                     |  |-- ?†E. barnesi (Woodward, 1906)
                     |  |-- †E. depressus? Woodward, 1918
                     |  `-- †E. hoeferi (Gorjanovic-Kramberger,1905)
                     `--o †Pycnodontoidea Agassiz, 1833 sensu Poyato-Ariza & Wenz, 2002
                        |--o †Coccodontidae Berg, 1940
                        |  |--+-- †Trewavasia carinatus White & Moy-Thomas, 1941 [Xenopholis] U.Cret. SWAs.
                        |  |  `-- †Hensodon spinosum (Hennig, 1907) Kriwet, 2004 [Mesodon spinosus Hennig, 1907; Mesodon spinosum Hennig; Steinmann, 1928 (emend.)] U.Cret. SWAs.
                        |  `--+-- †Ichthyoceros spinosus Gayet, 1984, U.Cret. SWAs.
                        |     `-- †Coccodus armatus Pictet, 1850, U.Cret. SWAs.
                        `--o †Pycnodontidae Agassiz, 1833 sensu Poyato-Ariza & Wenz, 2002 and 2005
                           |-- †Akromystax tilmachiton Poyato-Ariza & Wenz, 2005; U.Cret. SWAs.
                           `--+?-o †Macromesodon Blake, 1905 [taxonomic history]
                              |  |-- †M. sp. cf M. bernissartensis [Poyato-Ariza & Wenz, 2002]
                              |  |-- †M. macropterus (Agassiz, 1834) [taxonomic history]
                              |  |-- †M. gibbosus (Wagner, 1851) Poyato-Ariza & Wenz, 2004) [taxonomic history]
                              |  |-- †M. surgens (Poyato-Ariza & Wenz, 2002) Poyato-Ariza & Wenz, 2004 [taxonomic history]
                              |  `?- ?†M .comosus (Poyato-Ariza & Wenz, 2002) [no longer recognized by Poyato-Ariza & Wenz (2004)] [taxonomic history]
                              |--+-- †Stenamara mia Poyato-Ariza & Wenz, 2000 [Eomesodon sp.] U.Cret. WEu.
                              |  `--+-- †Stemmatodus rhombus (Agassiz, 1839) Heckel, 1854 [Pycnodus rhombus (Agassiz, 1839)] ?U.Jur.-L.Cret. Eu.
                              |     `--o †Turbomesodon Poyato-Ariza & Wenz, 2004 [taxonomic history]
                              |        |-- †T. bernissartensis (Traquair, 1911) [taxonomic history]
                              |        `--+-- †T. relegans Poyato-Ariza & Wenz, 2004 [taxonomic history]
                              |           `-- †T. praeclarus Poyato-Ariza & Wenz, 2004 [taxonomic history]
                              `--o †Pycnodontidae Agassiz, 1833 sensu Poyato-Ariza & Wenz, 2004
                                 |?-o †Anomoeodus Forir, 1887 [Anomaeodus??] L.-U.Cret. Eu. NA. U.Cret. Af.
                                 |  |-- †A. subclavatus (Agassiz, 1833) [Pycnodus subclavatus Agassiz, 1833]
                                 |  |-- †A. angustus (Agassiz, 1837)
                                 |  |-- †A. willetti Woodward, 1893
                                 |  `-- †A. nursali Kriwet, 1999
                                 |--o †Ocloedus Poyato-Ariza & Wenz, 2002 [taxonomic history] L.Cret. SA. SEu.
                                 |  |-- †O. subdiscus (Wenz, 1989) [taxonomic history]
                                 |  `-- †O. costae (Heckel, 1856) [taxonomic history]
                                 `--+--+-- †Tepexichthys aranguthyorum Applegate, 1992, U.Cret. SWNA.
                                    |  `--o †Proscinetinae Gistl, 1848 sensu Poyato-Ariza & Wenz, 2002
                                    |     |-- †Neoproseinets penalvai Figueiredo & Silva-Santos, 1987, U.Cret. ESA.
                                    |     `--o †Proscinetes Gistl, 1848 [Microdon, Polysephis] M. Jur. L.Cret. Eu. L.Cret. NA. 
                                    |        |-- ?†P. bassanii (D'Erasmo, 1914)
                                    |        |-- †P. bernardi (Thiollière, 1852)
                                    |        |-- †P. egertoni (Thiollière, 1852)
                                    |        |-- ?†P. itieri(Thiollière, 1850)
                                    |        |-- †P. sauvanasi? (Thiollière, 1852)
                                    |        |-- †P. thiollieri? (Saint-Seine, 1949)
                                    |        |-- †P.? wagneri (Thiollière, 1852)
                                    |        `-- †P. elegans (Agassiz, 1833) [Microdon elegans Agassiz, 1833]
                                    `--+-- †Iemanja palma Wenz, 1989
                                       `--+-- †Potiguara rosadoi (Santos, 1963) Machado & Brito, 2006 [Cosmodus rosadoi Santos, 1963; ?Ocloedus rosadoi (Silva Santos) Poyato-Ariza & Wenz, 2002]; U.Cret. NESAm.
                                          `--+--o †Coelodus Heckel, 1854 [Anomiophthalmus, Cosmodus, Glossodus] U.Jur. U.Cret. Eu. L.-U.Cret. NA. Af. U.Cret. Mad. U.Cret. Eoc. As.
                                             |  |?- †C. syriacus Hussakof, 1916, U.Cret. SWAs.
                                             |  `-- †C. saturnus Heckel, 1854 [C. rosthorni Heckel, 1854; C. suillus Heckel, 1854]
                                             `--+--o †Pycnodontinae Agassiz, 1833 sensu Poyato-Ariza & Wenz, 2002
                                                |  |-- †Pycnodus apoda (Volta, 1809) Agassiz, 1833 [Coryphaena apoda Volta, 1809; Zeus platessus Blainville, 1818; Pycnodus platessus (Blainville, 1818); Periodus, Pychnodus] Eoc. Eu.
                                                |  `-- †Oropycnodus ponsortii (Heckel, 1854) Poyato-Ariza & Wenz, 2002 [Palaeobalistum ponsortii Heckel, 1854] L.Cret. SEu.
                                                `--o †Nurselliinae Blot, 1987 sensu Poyato-Ariza & Wenz, 2002
                                                   |?- †Nursallia flabellatum Cope, 1886 [n. flavellatum (lapsus calami)]
                                                   |?- †Nursallia ventralis? (Davis, 1887) [Palaeobalistum ventralis Davis, 1887]
                                                   |-- †Nursallia veronae Blot, 1987 [Palaeobalistum goedeli (Heckel, 1854)]
                                                   `--+-- †Nursallia? gutturosum (Arambourg, 1954) [Palaeobalistum gutturosum Arambourg, 1954]
                                                      `--+-- †Abdobalistum thyrsus Poyato-Ariza & Wenz, 2002
                                                         `--+-- †Nursallia? goedeli (Heckel, 1854) [Palaeobalistum goedeli Heckel, 1854]
                                                            `-- †Palaeobalistum orbiculatum Blainville, 1818 [Palaeobalistes; incl. P. zignoi Blot, 1987] Eoc. Eu.

Pycnodontiformes not treated by Poyato-Ariza & Wenz (2002 & 2004):

Camposichthys riachuelensis Figueiredo & Silva-Santos, 1991
    †Acrotemus U.Cret. Eu. WAf. 
    †Athrodon U.Jur.-U.Cret. Eu.
    †CallodusC. coronatusCoccodus insignisCosmodus Sauvage, 1879 ==> CoelodusC. carentonensis (Coquand, 1860) [Gyrodus carentonensis Coquand, 1860]
        †C. sculptus (Agassiz, 1844) [Pycnodus sculptus Agassiz, 1844]
        †C. imitator (Cornuel, 1877) [Pycnodus imitator Cornuel, 1877]
        †C. grandis Sauvage, 1879
    †Ellipsodus L.Cret. Eu. 
    †Eomesodon granulatus (Münster, 1846) [dentition only]
    †Eomesodon rugolosus (Agassiz, 1839) [dentition only]
    †Grypodon [Ancistrodon, Ankistrodus] U.Cret. Eu. NAf. NA. 
        †G. acutirostrisG. armatusTibetodus U.Jur. CAs.
    †ParamicrodonP. estesiUranoplosus L.Cret. Eu. NA.
    †Woodthropea U.Trias. Eu.
    †Gyronchus [Gynonchus, ?Gyroconchus, Macromesodon, Mesodon, Scaphodus, Typodus] M. Jur. L.Cret. Eu.
        †G. dumbleiPolygyrodus U.Cret. Eu.
    †Nursallia? dossantosi (Maury, 1930) U.Cret. NWSA.
    †HadrodontidaeHadrodus Leidy, 1858
            †H. priscus Leidy, 1858
            †H. marshi Gregory, 1950
            †H. hewletti (Applegate, 1970)

Nomina dubia & invalida:

Trewavasiidae [Trewasidae] (nomen invalida)
    †Macromesodontidae (nomen invalida)
    †Nursalliidae Blot, 1987 (= Nurselliinae Blot, 1987 sensu Poyato-Ariza & Wenz, 2002)
    †GyronchidaePaleobalistidae

Note:

This page has benefited greatly from the personal touch of Dr. Poyato-Ariza

Reference(s):