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
           Family Eucyrtidiidae Ehrenberg, 1847
             1 Subfamily Eucyrtidiinae Ehrenberg, 1847
             2 Subfamily Calocyclinae Haeckel, 1881
             3 Subfamily Theocotylinae Petrushevskaya, 1981