[Class] Dinophyceae Pascher (1914)
   [Order] Peridiniales Haeckel (1894)
     [Family] Thoracosphaeraceae J. Schiller (1930)
       01 Genus Amyloodinium Brown & Hovasse, 1946 see Genus Amyloodinium E.-M. Br. & Hovasse (1946)
       02 Genus †Calciconus Streng, Banasová, D. Reháková & H. Willems (2009)
       03 Genus Chimonodinium Craveiro, Calado, Daugbjerg, Gert Hansen & Moestrup (2011)
       04 Genus †Cylindratus Banasová, Kopčáková & D. Rehaková ex Streng, Banasová, D. Reháková & H. Willems (2009)
       05 Genus Duboscquodinium Grassé, 1952 see Genus Duboscquodinium Grassé (1952)
       06 Genus †Juergenella Banasová, Kopčáková & D. Rehaková ex Streng, Banasová, D. Reháková & H. Willems (2009)
       07 Genus Paulsenella Chatton, 1920 see Genus Paulsenella Chatton (1920)
       08 Genus †Posoniella Streng, Banasová, D. Reháková & H. Willems (2009)
       09 Genus Stoeckeria Jeong, Kim, Park, Kim, Kim, Lee, Lee, Ha & Yih, 2005 see 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)
       10 Genus Theleodinium Craveiro, Pandeirada, Daugbjerg, Moestrup & Calado (ined.)
       11 Genus Tintinnophagus Coats, 2010 see Genus Tintinnophagus Coats (2010)
       13 Genus Tyrannodinium Calado, Craveiro, Daugbjerg & Moestrup (2009)
       14P ?Genus †Zugelia Özdikmen, 2009 see Genus Zugelia Özdikmen (2009)
       15 ?Genus Blastodinium Chatton, 1906 see Genus Blastodinium Chatton (1906)
       16 ?Genus Durinskia Carty & El.R. Cox (1986)
       17 ?Genus Galeidinium M. Tamura & T. Horig. (2005)
       18 ?Genus Kryptoperidinium Er. Lindem. (1924)
       19 ?Genus Zooxanthella K. Brandt (1881)