Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Stauraxonaria Afanasieva & Amon, 2005
       1 Order †Palaeodiscata Afanasieva & Amon, 2005 [monotypic]
       2 Order Oviformata Afanasieva & Amon, 2005
       3 Order †Radiiformata Afanasieva & Amon, 2005
       4 Order †Pyramidata Afanasieva & Amon, 2005
       5 Order Lobatiradiata Afanasieva & Amon, 2005
       6 Order Pyloniata Haeckel, 1881
       7 Order Spongurata Haeckel, 1862
       8 Order Spongodiscata Haeckel, 1862