Superfamily †Cycloidea Packard, 1885 - cycloids see Order Cycloidea Schram, Vonk & Hof, 1997
   Family †Cyclidae Glaessner, 1928 see Family Cyclidae Packard, 1885
     Genus †Cyclus de Koninck, 1841
       1 †Cyclus Jonesianus Woodward, 1870
       2 †Cyclus Woodwardi Reed, 1893
       3 †Cyclus Wrightii Woodward, 1870 see Cyclus wrighti Woodward, 1870
       4 †Cyclus Johnsoni Woodward, 1894 see Americlus johnsoni (Woodward, 1894)
       5 †Cyclus radialisᵀ (Phillips, 1835)
       6 †Cyclus Reussi (Gemmellaro, 1890) see Paraprosopon reussi Gemmellaro, 1890