Division Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subdivision Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Superclass Dinokaryota Fensome et al., 1993
     Class Dinophyceae Pascher (1914)
       Subclass Peridiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         01 Order Gonyaulacales F.J.R. Taylor (1980)
         02 Order Peridiniales Haeckel (1894)
         03 Family †Comparodiniaceae Vozzhennikova (1979), incertae sedis
         04 Family †Dollidiniaceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993), incertae sedis
         05 Family Oxytoxaceae Er. Lindem. (1928), incertae sedis [monotypic]
         06 Family Stephanelytraceae Stover, Sarjeant & Drugg (1977), incertae sedis
         07 Genus Adenoides Balech (1956), incertae sedis
         08 Genus †Apiculadinium Jingxian Yu, Mongrong Sun, Suying Sun & Shaozhi Mao (1981), incertae sedis
         09 Genus †Aquadulcum Harland & Sarjeant (1970), incertae sedis
         10 Genus Archaeosphaerodiniopsis Rampi (1943), incertae sedis
         11 Genus Dinosphaera Kof. & J.R. Michener (1912), incertae sedis
         12 Genus †Dodekovia Dörhöfer & Davies (1980), incertae sedis
         13 Genus †Gorkadinium Loebl. & A.R. Loebl. (1966), incertae sedis
         14 Genus †Hebecysta Bujak & Fisher (1976), incertae sedis
         15 Genus †Heibergella Bujak & Fisher (1976), incertae sedis
         16 Genus †Heteraulacus Diesing (1850), nom. rej. prop., incertae sedis see Genus Scrippsiella Balech ex A.R. Loebl. (1965)
         18 Genus †Lobionella Batten & Lister (1988), incertae sedis
         19 Genus †Lunatadinium Brideaux & McIntyre (1973), incertae sedis
         20 Genus Melanodinium J. Schiller (1935), incertae sedis see Genus Gonyaulax Diesing (1866)
         21 Genus †Mikropithon Agelopoulos (1967), incertae sedis
         22 Genus †Muiriella Churchill & Sarjeant (1962), incertae sedis
         23 Genus †Neuffenia Brenner & Dürr (1986), incertae sedis
         24 Genus †Opaeopsomus Pocock (1972), incertae sedis
         25 Genus †Orobodinium Gocht & Wille (1990), incertae sedis
         26 Genus †Palaeoglenodinium Deflandre (1935), incertae sedis
         27 Genus †Palaeohystrichodinium Chengquan He, Shenzhao Zhu & Guangxing Jin (1989), incertae sedis
         28 Genus †Palaeosphaerium Górka (1965), incertae sedis
         29 Genus †Palaeotetradinium Deflandre (1936), incertae sedis
         30 Genus †Pentafidia Backhouse (1988), incertae sedis
         31 Genus †Phallocysta Dörhöfer & Davies (1980), incertae sedis
         32 Genus †Pseudodeflandrea Alberti (1959), incertae sedis
         33 Genus †Pseudokomewuia Chengquan He (1980), incertae sedis
         34 Genus †Pseudostephodinium Jingxian Yu, Mongrong Sun, Suying Sun & Shaozhi Mao (1981), incertae sedis
         35 Genus Rosscoffia Balech (1956), incertae sedis see Genus Roscoffia Balech (1956)
         36 Genus Sabulodinium R.D. Saunders & J.D. Dodge (1984), incertae sedis
         37 Genus †Stenopyxinium Deflandre (1968), incertae sedis
         38 Genus †Sverdrupiella Bujak & Fisher (1976), incertae sedis
         39 Genus †Tetranguladinium Jingxian Yu, Mongrong Sun, Suying Sun & Shaozhi Mao (1983), incertae sedis
         41 Genus Thompsodinium Bourr. (1970), incertae sedis
         42 Genus †Vectensia Batten & Lister (1988), incertae sedis