Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Nassellaria Ehrenberg, 1847
       Order Cyrtidinata Haeckel, 1862
         Superfamily Eucyrtidioidea Ehrenberg, 1847
           01 Family Eucyrtidiidae Ehrenberg, 1847
           02 Family †Planispinocyrtiidae Tekin, 1999, nom. null. see Family Planispinocyrtidae Kozur & Mostler, 1981
           03 Family †Ruesticyrtiidae Kozur & Mostler, 1979
           04 Family †Pseudodictyomitridae Pessagno, 1977
           05 Family †Eucyrtidiellidae Takemura, 1986 [monotypic]
           06 Family †Obeliscoitidae O'Dogherty, 1994
           07 Family †Xitidae Pessagno, 1977
           08 Family †Williriedellidae Dumitrica, 1970
           09 Family Carpocaniidae Haeckel, 1881
           10 Family Artostrobiidae Riedel, 1967
           11 Family Pterocoryidae Haeckel, 1881
           12 Family Lophocyrtiidae Sanfilippo & Caulet, 2001