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 Archipilioidea Haeckel, 1881
           1 Family Archipiliidae Haeckel, 1881
           2 Family †Pseudosaturniformidae Kozur & Mostler, 1979 [monotypic]
           3 Family Sethoperidae Haeckel, 1881
           4 Family Plagoniidae Haeckel, 1881
           5 Family Cystidiidae Haeckel, 1883