After Carroll, 1988 and Rees & Underwood, 2002

<==o †Lonchidiidae Herman, 1977
   |--o †Lissodus Brough, 1935 s. s. [Lonchiodon; Hybodus (in partim)] L. Trias. SAf.
   |  |-- †L. africanus (Broom, 1909) [Hypodus africanus Broom, 1909]
   |  |-- †L. angulatus (Stensiö, 1921)
   |  |-- †L. cassangensis (Teixeira, 1956) [Hybodus cassangensis Teixeira, 1956]
   |  |-- †L. cristatus Delsate & Duffin, 1999
   |  |-- †L. hasleensis Rees, 1998
   |  |-- †L. leiodus (Woodward, 1887)
   |  |-- †L. leiopleurus (Woodward, 1889)
   |  |-- †L. lepagei Duffin, 1993
   |  |-- †L. levis (Woodward, 1887)
   |  |-- †L. minimus (Agassiz, 1839)
   |  |-- †L. nodosus (Seilacher, 1943)
   |  `-- †L. wardi Duffin, 1985
   |--o †Lonchidion Estes, 1964, U. Cret. NA. [Lissodus] [Polyacrodontidae Gluckman, 1964a]
   |  |-- †L. anitae Thurmond, 1971
   |  |-- †L. babulskii Cappetta & Case, 1975
   |  |-- †L. breve Patterson, 1966
   |  |-- †L. crenulatum (Patterson, 1966)
   |  |-- †L. delsatei (Guennegues & Biddle, 1989)
   |  |-- †L. griffisi (Case, 1987)
   |  |-- †L. humblei Murry, 1981
   |  |-- †L. inflexum Underwood & Rees, 2002
   |  |-- †L. marocensis (Duffin & Sigogneau-Russell, 1993)
   |  |-- †L. microselachos Estes & Sanchíz, 1982
   |  |-- †L. selachos Estes, 1964
   |  |-- †L. striatum Patterson, 1966
   |  `-- †L. weltoni (Duffin, 1985)
   |-- †Vectiselachos ornatus (Woodward, 1889) Rees & Underwood, 2002 [Acrodus ornatus Woodward, 1889; "Lissodus" pustulatus Patterson, 1966]
   |-- †Hylaeobatis problematica Woodward, 1916
   `--o †Parvodus Rees & Underwood, 2002
      |-- †P. curvidens (Duffin & Thies, 1997)
      |-- †P. pattersoni (Duffin, 1985)
      `-- †P. rugianus (Ansorge, 1990)

Lonchidiidae incertae sedis:

Lissodus Brough, 1935
        †L. lacostrisL. sp.L. sp.L. wirksworthensis Duffin, 1985
    †Lonchidion Estes, 1964
        †L. palustris Gomez-Pallerola, 1992 [possibly synonomus with Lonchiodon microselachos Estes & Sanchíz, 1982]
        †L. heterodon Patterson, 1966 [possibly a species of Parvodus]

Reference(s):