Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Nassellaria Ehrenberg, 1847
       Order Cyrtidinata Haeckel, 1862
         Superfamily Eucyrtidioidea Ehrenberg, 1847
           Family †Williriedellidae Dumitrica, 1970
             01 Genus †Complexapora Kießling & Zeiss, 1992
             02 Genus †Cryptamphorella Dumitrica, 1970
             03 Genus †Cryptocephalus Haeckel, 1881, nom. illeg.
             04 Genus †Excentropylomma Dumitrica, 1970
             05 Genus †Hemicryptocapsa Tan, 1927
             06 Genus †Holocryptocanium Dumitrica, 1970
             07 Genus †Holocryptocapsa Tan, 1927
             08 Genus †Kozurium Pessagno, 1977
             09 Genus †Williriedellum Dumitrica, 1970
             10 Genus †Zhamoidellum Dumitrica, 1970