Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Spumellaria Ehrenberg, 1875
       Order Saturnalata Afanasieva & Amon, 2005
         Family Saturnalidaeᵀ Deflandre, 1953
           Subfamily Saturnalinae Deflandre, 1953
             1 Genus †Acanthocircus Squinabol, 1903
             2 Genus †Aurisaturnalis Dumitrica & Dumitrica-Jud, 1994
             3 Genus †Praeacanthocircus Kozur & Mostler, 1983
             4 Genus †Pseudacanthocircus Kozur & Mostler, 1990
             5 Genus Saturnalis Haeckel, 1881
             6 Genus †Spinoellipsella Kozur & Mostler, 1990
             7 Genus †Spongosaturninus Campbell & Clark, 1944
             8 Genus †Vitorfus Pessagno, 1977