[Class] Polycystinea Ehrenberg, 1838 - polycystines see Superclass Polycystinia Ehrenberg, 1838
   Order Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
     Family Trissocyclidae Haeckel, 1881 see Family Acanthodesmiidae Haeckel, 1862
       Genus Liriospyris Haeckel, 1881
         01 †Liriospyris clathrata (Ehrenberg, 1854)
         02 †Liriospyris cricus Westberg-Smith & Riedel, 1984
         03 †Liriospyris elevata Goll, 1968
         04 †Liriospyris geniculosa Goll, 1968
         05 †Liriospyris globosa Goll, 1968
         06 †Liriospyris hexapoda Haeckel, 1887
         07 †Liriospyris longicornuta Goll, 1968
         08 †Liriospyris mutuaria Goll, 1968
         09 †Liriospyris ovalis Goll, 1968
         10 †Liriospyris parkerae Riedel & Sanfilippo, 1971
         11 Liriospyris reticulata (Ehrenberg, 1872)
         12 †Liriospyris spinulosa (Ehrenberg)
         13 †Liriospyris stauropora (Haeckel, 1887)