Class Actinopoda Calkins, 1902 see Parvkingdom Actinopoda Calkins, 1902
   Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
     Superorder Polycystina Ehrenberg, 1838 see Class Polycystinea Ehrenberg, 1838
       Order Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
         01 Family †Archocyrtiidae Kozur & Mostler, 1981 see Subfamily Archocyrtiinae Kozur & Mostler, 1981
         02 Family †Popofskyellidae Deflandre, 1964
         03 Family †Archaeosemantidae Kozur & Mostler, 1981 see Family Palaeoscenidiidae Riedel, 1967
         04 Family Plagiacanthidae Hertwig, 1879
         05 Family †Poulpidae De Wever, 1981
         06 Family †Tripedurnulidae Dumitrica, 1991
         07 Family †Hexapylocapsidae Dumitrica & Zügel, 1998 [monotypic]
         08 Family †Nabolellidae De Wever, Dumitrica, Caulet, Nigrini & Caridroit, 2001 see Subfamily Nabolellinae De Wever, Dumitrica, Caulet, Nigrini & Caridroit, 2001
         09 Family Lophophaenidae Haeckel, 1881 see Subfamily Lophophaeninae Haeckel, 1881
         10 Family †Pseudosaturniformidae Kozur & Mostler, 1979 [monotypic]
         11 Superfamily Acanthodesmiacea Haeckel, 1862 see Order Spyridinata Ehrenberg, 1847
         12 Family †Neosciadiocapsidae Pessagno, 1969 see Subfamily Neosciadiocapsinae Pessagno, 1969
         13 Family †Rotaformidae Pessagno, 1970 see Subfamily Rotaforminae Pessagno, 1970
         14 Family Sethophormididae Haeckel, 1881
         15 Family Sethoperidae Haeckel, 1881
         16 Family Theopiliidae Haeckel, 1881 see Subfamily Theopiliinae Haeckel, 1881
         17 Family †Livarellidae Kozur & Mostler, 1981
         18 Family †Foremanellinidae Dumitrica, 1982
         19 Family †Cuniculiformidae De Wever, 1982
         20 Family †Monicastericidae Kozur & Mostler, 1994
         21 Family Cannobotryidae Haeckel, 1881
         22 Family Acropyramididae Haeckel, 1881
         23 Family Ultranaporidae Pessagno, 1977 see Subfamily Ultranaporinae Pessagno, 1977
         24 Family †Spongolophophenidae Kozur & Mostler, 1994
         25 Family †Deflandrecyrtiidae Kozur & Mostler, 1979
         26 Family †Spongosilicarmigeridae Dumitrica, 2001
         27 Family †Bulbocyrtiidae Kozur & Mostler, 1981
         28 Family †Sethocapsidae Haeckel, 1881 see Subfamily Sethocapsinae Haeckel, 1881
         29 Family †Williriedellidae Dumitrica, 1970
         30 Family †Eucyrtidiellidae Takemura, 1986
         31 Family Artostrobiidae Riedel, 1967
         32 Family Carpocaniidae Haeckel, 1881
         33 Family Pterocorythidae Haeckel, 1881 see Family Pterocoryidae Haeckel, 1881
         34 Family †Planispinocyrtiidae Tekin, 1999, nom. null. see Family Planispinocyrtidae Kozur & Mostler, 1981
         35 Family †Ruesticyrtiidae Kozur & Mostler, 1979
         36 Superfamily †Archaeodictyomitracea Pessagno, 1976 see Superfamily Stichocapsoidea Haeckel, 1881
         37 Superfamily Amphipyndacea Riedel, 1967 see Superfamily Amphipyndacioidea Riedel, 1967
         38 Superfamily Eucyrtidiacea Ehrenberg, 1847 see Superfamily Eucyrtidioidea Ehrenberg, 1847