Marsupialia
There is some debate whether this is better listed as an order or an infraclass, and most recent thought splits the marsupials up a bit
Infraclass Metatheria (marsupial mammals)
Order Dasyuromorphia (dasyuroid marsupials and marsupial carnivores)
Family Dasyuridae (dasyurids)
Family Myrmecobiidae (numbat)
Family Thylacinidae (Tasmanian wolf and thylacine)
Order Didelphimorphia (American marsupials)
Family Didelphidae (American opossums and opossums)
Order Diprotodontia (kangaroos, possums, wallabies, and relatives)
Family Acrobatidae (feathertail gliders and pygmy gliders)
Family Burramyidae (pygmy possums)
Family Macropodidae (kangaroos, wallabies, and relatives)
Family Petauridae (gliders, Leadbeater's possum, and striped possums)
Family Phalangeridae (brushtail possums and cuscuses)
Family Phascolarctidae (koalas)
Family Potoroidae (bettongs, potoroos, and rat kangaroos)
Family Pseudocheiridae (ringtailed possums)
Family Tarsipedidae (honey possum)
Family Vombatidae (wombats)
Order Microbiotheria (monito del monte)
Family Microbiotheriidae (monito del monte)
Order Notoryctemorphia (marsupial moles)
Family Notoryctidae (marsupial moles)
Order Paucituberculata (shrew opossums)
Family Caenolestidae (shrew opossums)
Order Peramelemorphia (bandicoots and bilbies)
Family Peramelidae (Australian bandicoots)
Family Peroryctidae (New Guinea bandicoots and rainforest bandicoots)