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 †Radiiformata Afanasieva & Amon, 2005
         1 Family †Latentifistulidaeᵀ Nazarov & Ormiston, 1983
         2 Family †Quadriremidae Afanasieva, 2000
         3 Family †Polyfistulidae Amon, 1999 [monotypic]
         4 Family †Ormistonellidae De Wever & Caridroit, 1984
         5 Family †Deflandrellidae De Wever & Caridroit, 1984, nom. illeg. [monotypic] see Family Cauletellidae Caridroit, De Wever & Dumitrica, 1999