Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Stauraxonaria Afanasieva & Amon, 2005
       Order †Palaeodiscata Afanasieva & Amon, 2005 [monotypic]
         Family †Palaeodiscidaeᵀ Afanasieva, 2000
           1 Genus †Copicyntroides Nazarov & Ormiston, 1985
           2 Genus †Eostylodictya Ormiston & Lane, 1976
           3 Genus †Gedauia Won, 1983
           4 Genus †Palaeodiscus Afanasieva, 2000, nom. illeg.
           5 Genus †Primaritripus Afanasieva, 2000
           6 Genus †Sphaerodiscus Won, 1983