Inversiulidae Vigneaux, 1949
Inversiula airensis Maplestone, 1911
Inversiula fertilis Powell, 1967
Inversiula inversa (Waters, 1887)
Inversiula nutrix Jullien, 1888
Inversiula patagonica Hayward & Ryland, 1991
Inversiula quadricornis Maplestone, 1911
