Order Polyprotodontia (Owen, 1866)
   Suborder Peramelemorphia Ameghino, 1889 see Order Peramelia Ameghino, 1889
     Superfamily Perameloidea Gray, 1825
       1 Family Peramelidae Gray, 1825 - bandicoots
       2 Family Thylacomyidae Bensley, 1903 - rabbit-bandicoots