Here's the complete list of Marsupial superorders, orders and families. Also included the number of species and if extinct to not.

• Superorder Ameridelphia

        • Order Didelphimorphia (93 species)

           • Family Didelphidae: Opossums

        • Order Paucituberculata (6 species)

           • Family Caenolestidae: Shrew Opossums

• Superorder Australidelphia

         • Order Yalkaparidontia (†)

         • Order Microbiotheria (1 specie)

            • Family Microbiotheriidae: Monito del Monte

         • Order Dasyuromorphia (71 species)

            • Family Thylacinidae (†): Thylacine (†)

            • Family Dasyuridae: Antechinuses, Quolls, Dunnarts, Tasmanian Devil and relatives

            • Family Myrmecobiidae: Numbat

         • Order Peramelemorphia (24 species)

            • Family Thylacomyidae: Bilbies

            • Family Chaeropodidae (†): Pig-footed Bandicoot (†)

            • Family Peramelidae: Bandicoots and Allies

         • Order Notoryctemorphia (2 species)

            • Family Notoryctidae: Marsupial Moles

         • Order Diprotodontia (137 species)

            • Family Phascolarctidae: Koala

            • Family Vombatidae: Wombats

            • Family Diprotodontidae (†): Diprotodon (†)

            • Family Phalangeridae: Brushtail Possums and Cuscuses

            • Family Burramyidae: Pygmy Possums

            • Family Tarsipedidae: Honey Possum

            • Family Petauridae: Striped Possum, Leadbeater's Possum, Yellow-bellied Glider, Sugar Glider,                     Mahogany Glider, Squirrel Glider

            • Family Pseudocheiridae: Ringtailed Possums and relatives

            • Family Potoridae: Potoroos, Rat Kangaroos, Bettongs

            • Family Acrobatidae: Feathertail Glider and Father-tailed Possum

            • Family Hypsiprymnodontidae: Musky Rat-Kangaroo

            • Family Macropodidae: Kangaroos, Wallabies and relatives

            • Family Thylacoleonidae (†): Marsupial Lions (†)

          • Order Sparassodonta (†)

* †- extinct