Order Peridiniales Haeckel (1894)
   Family Thoracosphaeraceae J. Schiller (1930)
     01 Genus †Alasphaera Keupp (1979)
     02 Genus †Andriella Bolli, 1974 see Genus Andriella H.M. Bolli (1974)
     03 Genus †Bicarinellum Deflandre, 1949 see Genus Bicarinellum Deflandre (1948)
     04 Genus †Biechelerella Deflandre, 1949 see Genus Bicarinellum Deflandre (1948)
     05 Genus †Bitorus Keupp (1992)
     06P ?Genus †Bonetocardiella Dufour, 1968 see Genus Bonetocardiella T. Dufour (1968)
     07P ?Genus †Burocratus Trejo, 1983 see Genus Burocratus Trejo (1983)
     08 Genus †Cadosina Wanner, 1941 see Genus Cadosina J. Wanner (1940)
     09 Genus †Cadosinella Vogler, 1941 see Genus Cadosinella J. Vogler (1941)
     10 Genus †Cadosinopsis Scheibner, 1967 see Genus Cadosinopsis Scheibner (1967)
     11 Genus †Calcicarpinum Deflandre, 1949 see Genus Calcicarpinum Deflandre (1948)
     12 Genus †Calcigonellum Deflandre, 1949 see Genus Calcigonellum Deflandre (1949)
     13 Genus †Calciodinellum Deflandre, 1947 see Genus Calciodinellum Deflandre (1947)
     14 Genus †Calciogranellum Deflandre, 1949 see Genus Calciodinellum Deflandre (1947)
     15 Genus †Calciperidinium Versteegh (1993)
     16 Genus †Calcipterellum Deflandre, 1949 see Genus Calcipterellum Deflandre (1948)
     17 Genus †Calcisphaerellum Deflandre, 1949 see Genus Bicarinellum Deflandre (1948)
     18 Genus †Calcisphaerula Bonet, 1956 see Genus Calcisphaerula Bonet (1956)
     19 Genus †Calcistheca Trejo, 1983 see Genus Calcistheca Trejo (1983)
     20 Genus †Caracomia Streng, Hildebrand-Habel & H. Willems (2002)
     21 Genus †Carinasphaera Kohring (1993)
     22 Genus †Carinellum Keupp (1981)
     23 Genus †Carpistomiosphaera Nowak, 1968 see Genus Carpistomiosphaera W. Nowak (1968)
     24 Genus †Centosphaera Wind & S.W. Wise (1977)
     25 Genus †Cervisiella Hildebrand-Habel, H. Willems & Versteegh (1999)
     26 Genus †Colomisphaera Nowak, 1968 see Genus Colomisphaera W. Nowak (1968)
     27 Genus †Committosphaera Řehánek, 1985 see Genus Committosphaera Řehánek (1985)
     28 Genus †Congruentia Kohring (1991)
     29P ?Genus †Coronadinium H. Willems (1998)
     30 Genus †Crustocadosina Řehánek, 1985 see Genus Crustocadosina Řehánek (1985)
     31 Genus Cryptoperidiniopsis Steid., Landsberg, P.L. Mason, Vogelbein, P.A. Tester & Litaker (2006)
     32 Genus †Cubodinellum Keupp (1987)
     33 Genus †Cylindrodinellum Zügel (1994)
     34 Genus †Dimorphosphaera Keupp (1979)
     35 Genus †Echinodinella Keupp (1980)
     36 Genus Ensiculifera Balech, 1967 see Genus Ensiculifera Balech (1967)
     37 Genus †Follisdinellum Versteegh (1993)
     38 Genus †Fuettererella Kohring (1993)
     39 Genus †"Geulhemmerbergia" H. Willems (1996)
     40 Genus †Gonellum Keupp (1987)
     41 Genus †Hemistomiosphaera Nowak, 1968 see Genus Hemistomiosphaera W. Nowak (1968)
     42 Genus †Heptasphaera Keupp (1979)
     43 Genus †Inocardion Masters & Scott, 1978 see Genus Inocardion B.A. Masters & R.W. Scott (1978)
     44 Genus †Keuppisphaera Lentin & G.L. Williams (1989)
     45 Genus Lebessphaera S. Meier, Janofske & H. Willems (2002)
     46 Genus Leonella Janofske & Karwath (2000)
     47P ?Genus †Lentodinella Kienel (1994)
     48 Genus Luciella P.L. Mason, Jeong, Litaker, Reece & Steid. (2007)
     49 Genus †Melodomuncula Versteegh (1993)
     50P ?Genus †Microconus Trejo, 1983, nom. illeg. see Genus Microconus Trejo (1983)
     51P ?Genus †Navarrella Trejo, 1983 see Genus Navarrella Trejo (1993)
     52 Genus †Nephrodinella Keupp (1981)
     53P ?Genus †Normandia Zügel (1994) see Genus Zugelia Özdikmen (2009)
     54 Genus †Obliquipithonella Keupp (1984) see Genus Pirumella H.M. Bolli (1980)
     55 Genus †Operculodinella Kienel (1994)
     56 Genus †Orthocarinellum Keupp (1987)
     57 Genus †Orthopithonella Keupp (1984)
     58 Genus †Orthotabulata Kienel (1994)
     59P.1 ?Genus †"Palinosphaera" Reinsch, 1967
     59P.2 ?Genus †"Palinosphaeria" Voigt & Häntzschel, 1964
     60 Genus †Parastomiosphaera Nowak, 1968 see Genus Parastomiosphaera W. Nowak (1968)
     61 Genus Pentadinellum Keupp (1991)
     62 Genus Pentapharsodinium Indel. & A.R. Loebl. (1986)
     63 Genus †Pernambugia Janofske & Karwath (2000)
     64 Genus Pfiesteria Steid. & J.M. Burkh. (1996)
     65 Genus †"Phoreisa" Courtev. (1948)
     66 Genus †Pirumella Bolli, 1980 see Genus Pirumella H.M. Bolli (1980)
     67P ?Genus †Pithonella Lorenz, 1902 see Genus Pithonella T. Lorenz (1902)
     68P ?Genus †Pleurozonaria Wetzel, 1933 see Genus Pleurozonaria Wetzel (1933)
     69 Genus †Praecalcigonellum Keupp & Versteegh (1989)
     70P ?Genus †Praecalcisphaerula Trejo, 1983 see Genus Praecalcisphaerula Trejo (1983)
     71 Genus Pseudopfiesteria Litaker, Steid., P.L. Mason, Shields & P.A. Tester (2005)
     72 Genus †Pseudopithonella Versteegh (1993)
     73 Genus †Retesphaera Hildebrand-Habel, H. Willems & Versteegh (1999)
     74 Genus Rhabdothorax Kamptner ex Gaarder & Heimdal (1973)
     75P ?Genus †Risserella Trejo, 1983 see Genus Risserella Trejo (1983)
     76 Genus †Ruegenia Willems, 1992 see Genus Ruegenia H. Willems (1992)
     77 Genus †Saumuria Zügel (1994)
     78 Genus Scrippsiella Balech ex A.R. Loebl. (1965)
     79P ?Genus †Septiareata Kienel (1994)
     80 Genus †Sliteria Krasheninnikov & Basov, 1983 see Genus Sliteria Krasheninnikov & Basov (1983)
     81 Genus †Sphaerodinella Keupp & Versteegh (1989) see Genus Calciodinellum Deflandre (1947)
     82 Genus †Stomiosphaera Wanner, 1941 see Genus Stomiosphaera J. Wanner (1940)
     83 Genus †Stomiosphaerina Nowak, 1974 see Genus Stomiosphaerina W. Nowak (1974)
     84 Genus †Tetramerosphaera H. Willems (1985)
     85P ?Genus †Tetratropis H. Willems (1990)
     86 Genus Thoracosphaera Kamptner (1927)
     87 Genus †Vertebrellum Zügel (1994)
     88P ?Genus †Wallia Keupp (1990)
     89 Genus Wallidinellum Keupp (1991)
     x01 Genus †Asterosphaerella Villain, 1975 see Genus Asterosphaerella Villain (1975)
     x02 Genus †Bachmayerella Rögl & Franz, 1979 see Genus Bachmayerella Rögl & H. Franz (1979)
     x03 Genus Bysmatrum M.A. Faust & Steid. (1998)
     x04 Genus †Carnicalyxia Janofske (1990)
     x05 Genus †Chonesphaera Klumpp, 1953 see Genus Chonesphaera Klumpp (1953)
     x06 Genus Endodinium Hovasse, 1922 see Genus Endodinium Hovasse (1922)
     x07 Genus †Gildaella Trejo, 1983 see Genus Gildaella Trejo (1983)
     x08 Genus †Oligostegina Kaufmann, 1865
     x09 Genus †Prinsiosphaera Jafar, 1983 see Genus Prinsiosphaera Jafar (1983)
     x10 Genus †Pseudopithonella Trejo, 1983 see Genus Pseudopithonella Trejo (1983)
     x11 Genus †Schizosphaerella Deflandre & Dangeard, 1938 see Genus Schizosphaerella Deflandre & P.J.L. Dang. (1938)
     x12 Genus †Sinothoracosphaera K. Hou, X. Tian, Yancheng Chen, Z. Xuan, Xiuqing Liu & Bo (1991)
     x13 Genus †Stomiosporella Trejo, 1983 see Genus Stomiosporella Trejo (1983)