These extinctions include a number of species which once utilized the Great Victoria Desert: the pig-footed bandicoot (Chaeropus ecaudatus), short-tailed hopping mouse (Notomys amplus), long-tailed hopping mouse (N. longicaudatus), and lesser stick-nest rat (Leporillus apicalis).    From Wordnik.com.  [Great Victoria desert] Reference

However a high number of mammal species, 14 percent of the total mammalian fauna, are considered regionally or globally threatened, including the greater bilby (Macrotis lagotis VU), hairy-footed dunnart (Sminthopsis hirtipes), dusky hopping mouse (Notomys fuscus VU), mulgara (Dasycercus cristicauda VU), and kowari.    From Wordnik.com.  [Simpson desert] Reference

Twenty two native mammals are found in the park including dingo Canis familiaris dingo, red kangaroo Macropus rufus, common wallaroo M. robustus, marsupial mole Notoryctes typhlops, spinifex hopping mouse Notomys alexis, several bat species including Australian false vampire Marcoderma gigas (V), bilby Macrotis lagotis (E), occasional short nosed echidna Tachyglossus aculeatus and several small marsupials and native rodents.    From Wordnik.com.  [Uluru-Kata Tjuta National Park, Australia] Reference