Kingdom Chromalveolata Adl et al., 2005 see Kingdom Chromista Caval.-Sm. (1981)
   Infrakingdom Alveolata Cavalier-Smith, 1991 see [unranked] Alveolata Cavalier-Smith, 1991
     Phylum Myzozoa Cavalier-Smith & Chao, 2004 see Subphylum Myzozoa Cavalier-Smith & Chao, 2004
       Superclass Dinokaryota Fensome et al., 1993
         Class Dinoflagellata Bütschli, 1885 see Superclass Dinoflagellata Bütschli, 1885
           Order Thoracosphaerales Tangen (1982) see Order Peridiniales Haeckel (1894)
             Family Oodiniaceae Chatton (1920)
               112 Genus Amyloodinium E.-M. Br. & Hovasse (1946)
               113 Genus Cachonella Rose & Cachon (1952) [monotypic]
               114 Genus Chalubinskia Wolosz. (1916)
               115 Genus Chimonodinium Craveiro, Calado, Daugbjerg, Gert Hansen & Moestrup (2011)
               116 Genus Crepidoodinium J. Lom & A.R. Lawler (1981)
               117 Genus Cryptoperidiniopsis Steid., Landsberg, P.L. Mason, Vogelbein, P.A. Tester & Litaker (2006)
               118 Genus Cystodinedria Pascher (1944)
               119 Genus Haidadinium J. Buckland-Nicks, T.E. Reimchen & D.J. Garbary (1997)
               120 Genus Leonella Janofske & Karwath (2000)
               121 Genus Luciella P.L. Mason, Jeong, Litaker, Reece & Steid. (2007)
               122 Genus Parvodinium Carty (2008)
               123 Genus Protoodinium Hovasse (1935) [monotypic]
               124 Genus Oodinioides Rchb.-Klinke (1970)
               125 Genus Oodinium Chatton (1912)
               126 Genus Paulsenella Chatton (1920)
               127 Genus Pfiesteria Steid. & J.M. Burkh. (1996)
               128 Genus Pseudopfiesteria Litaker, Steid., P.L. Mason, Shields & P.A. Tester (2005)
               129 Genus Staszicella Wolosz. (1916)
               130 Genus Stoeckeria H.J. Jeong, Jae S. Kim, J.Y. Park, Jong H. Kim, Sang Kim, I. Lee, Seung H. Lee, J.H. Ha & W.H. Yih (2005)
               131 Genus Stylodinium G.A. Klebs (1912)
               132 Genus Thoracosphaera Kamptner (1927)
               133 Genus Tyrannodinium Calado, Craveiro, Daugbjerg & Moestrup (2009)