Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Spumellaria Ehrenberg, 1875
       1 Order †Echidninata Kozur, Mostler & Repetski, 1996 [monotypic]
       2 Order Cancelliata Afanasieva & Amon, 2003
       3 Order †Spongiata Afanasieva & Amon, 2003
       4 Order Capsulata Afanasieva & Amon, 2005
       5 Order †Prodigiata Afanasieva & Amon, 2005
       6 Order Saturnalata Afanasieva & Amon, 2005