Listed, without family-connection or in family not listed by Donoghue & Sweet, 2001:

    †Acodus
        †A. kechikaensis
    †Amorphognathus
        †A. ordovicicus Branson & Mehl, 1933
        †A. tvaerensis
        †A. superbus
    †Anticostiodus Zhang & Barnes, 2000
        †A. fahraeusi Zhang & Barnes, 2000
        †A. boltoni Zhang & Barnes, 2000
    †Basselodus Aldridge, 1982
        †B. arcticus Aldridge, 1982
        †B. variabilis (Webers, 1966)
        †B. semisymmetricus (Hamar, 1966)
    †Belodina
        †B. confluens Sweet
    †Carniodus [is a rhipidognathid?]
    †Cornuodus
        †C. longibasis (Lindström)
    †Culumbodina
        †C. penna
        †C. occidentalis
    †Curtognathus Branson & Mefl, 1933b
        †C. typa Branson & Mefl, 1933b
    †Dapsilodus Cooper, 1976
        †D. obliquicostatus (Branson & Mehl, 1933a)
    †Decoriconus
        †D. fragilis
    †Diaphorodus
        †D. russoi
    †Drepanodus
        †D. arcuatus Pander
        †D. robustus
    †Erismodus Branson & Mehl, 1933a
        †E. typus Branson & Mehl, 1933a
        †E. radicans (Hinde, 1879)
    †Erraticodon
        †E. balticus
    †Fahraeusodus
        †F. marathonensis
    †Gamachignathus
        †G. ensifer
    †Hamarodus
        †H. europaeus
    †Histiodella [is a rhipidognathid?]
        †H. sinuosa
    †Istorinus
        †I. erectus Kn¨pfer, 1967
    †Juanognathus
        †J. variabilis Serpagli
        †J. gananda? Cooper
        †J. jaanussoni
    †Jumudontus
        †gananda
    †Kallidontus
        †K. serratus
        †K. nodosus
    †Lenodus
        †L. variabilis
    †Microzarkodina
        †M. flabellum (Lindström)
        †M. parva
    †Oepikodus
        †O. communis
    †Oistodus Pander, 1856
        †O. lanceolatus (Pander, 1856)
        †“O.” venustus Stauffer, 1935a
        †“O.” pseudoabundans Schopf, 1966
    †Oulodus Branson & Mehl, 1933b
        †O. serratus (Stauffer, 1930) [taxonomic history]
        †O. expansus (Armstrong, 1990)
        †O. ulrichi
        †O. rohneri
        †O. jeannae Schönlaub, 1975
        †O. panuarensis Bischoff, 1986
    †Paroistodus
        †P. originalis
        †P. horridus
            †P. h. primus
            †P. h. secundus
    †Pedavis
        †P. latialata (Walliser, 1964)
        †P. sp. aff. P. thorsteinssoni Uyeno, 1980
        †P. thorsteinssoni Uyeno, 1980
    †Phragmodus
        †P. undatus
    †Polonodus
        †P.galerus
        †P. magnum
    †Pseudobelodina Sweet, 1979b
        †P. kirki (Stone & Furnish, 1959)
        †P. vulgaris
        †P. inclinata
        †P. manitoulinensis Leslie, 2000
    †Pseudooneotodus Drygant, 1974a
        †P. beckmanni (Bischoff & Sannemann, 1958) [Oneotodus? beckmanni Bischoff & Sannemann, 1958]
        †P. mitratus (Moskalenko, 1973)
    †Pteracontiodus
        †P. cryptodens
    †Pterospathodus
        †P. amorphognathoides
    †Pygodus
        †P. anitae
    †Scabbardella
        †S. altipes
    †Scolopodus
        †S. quadratus Pander
    †Scyphiodus Stauffer, 1935b
        †S. primus Stauffer, 1935b
    †Spinodus
        †S. spinatus
    †Staufferella Sweet, Thompson & Satterfield, 1975
        †S. falcata (Stauffer, 1935c)
        †S. polonica (Spassov & Teller, 1963)
    †Stereoconus Branson & Mehl, 1933a
        †S. gracilis Branson & Mehl, 1933a
        †S. plenus Branson & Mehl, 1933a
    †Strachanognathus
        †S. parvus
    †Streptognathus
        †S. pawhuskaensis (Harris & Hollingsworth, 1933)
        †S. zethus Chernykh & Reshetkova, 1987
    †Taoqupognathus
        †T. blandus An
    †Tripodus
        †T. laevis
    †Tropodus
        †T. comptus (Branson & Mehl)
        †T. sweeti (Serpagli)
    †Walliserodus
        †W. curvatus (Branson & Branson, 1947)
        †W. amplissimus
    †Yaoxianognathus An, 1985
        †Y. wrighti Savage
        †Y. yaoxianensis An, 1985
        †Y. abruptus (Branson & Mehl, 1933b)

    †Paracordylodontidae Bergström, 1981
        †Paracordylodus gracilis Lindström, 1955

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