According to NPWS, "Mammal keeper's licence
The dingo is the only native mammal that is not protected in NSW. It is also the only native mammal that you can have as a pet without needing a licence from the NPWS or any other state government authority.
All other native mammals, including marsupials, are protected in NSW. It is against the law to take protected animals from the wild, and you must be licensed by the NPWS to be in possession of them. The NPWS only gives licences for people to keep two species of native mammal as pets: the spinifex hopping-mouse and the plains rat."
"The NPWS believes that animal welfare considerations are very important in the keeping of any animal as a pet. The housing and husbandry needs of many native mammals are not well understood by the general public. There are many issues to consider when assessing the suitability of a species as a pet. For example:
Some native mammals, particularly wallabies and kangaroos, are very prone to stress-related diseases. These diseases can be brought on by contact with humans, domestic pets (cats and dogs) and by human-generated noise or machinery movement."
All this and more can be found at
http://www.nationalparks.nsw.gov.au/npws.nsf/Content/Mammal+keepers+licence
and
http://www.nationalparks.nsw.gov.au...+mammals+like+quolls+or+sugar+gliders+as+pets
Also belinda, the site you were looking at was based in Victoria, Each state can make up their own laws regarding conservation etc. What is illegal is NSW may not be illegal in SA and so on