In the Northern Territory there are Banteng, buffalo, wild bulls, boars, horses, donkeys, Sambar deer, Rusa deer, Chital deer, Camels and other exotics.
There is also a Geese and Waterfowl season.
Apart from the Sambar deer, the other deer are only available on one or two private game ranch enclosures.
The rest of the "game" are available via outfitters operating in various parts of the State/Territory. Note there is and can be a huge separation in physical distance between some of these species.
In Queensland there are wild bulls (feral cattle) feral hogs, goats, Chital deer, Rusa deer, Red deer, Fallow deer and wild dogs.
Most if not all of these species are available via outfitters either free range or game ranch.
There is also small game such as rabbits, foxes, hares and feral cats.
In N.S.W there are Red deer, Fallow deer, Chital deer, Rusa and Sambar deer.
As well as hogs, goats and small varmints such as foxes, rabbits, hares and feral cats etc.
There are outfitters offering Red, Fallow, hogs and goats.
In Victoria we have Sambar deer, fallow, Red deer, Hog deer pigs, goats, foxes, rabbits and hares.
There are outfitters offering hunts for Sambar and fallow and some small game hunting.
Note we have restrictions (seasons and licencing) on Sambar, Hog deer, fallow and Red deer in Victoria.
In S.A there is a prominent, and large, game ranch offering most of the deer species via an outfitted hunt.
There is also limited free range hunting for fallow and Red deer and small game.
Note to the best of my knowledge game ranch hunting/offering is illegal except for QLD. N.T and S.A.
Note there are legal requirements specific to ALL States and Territories regarding the hunting of ANYTHING and it is most restrictive for non-resident aliens specifically so those intending to bring in firearms from overseas.
Before engaging ANY outfitter in ANY State of Australia ensure and request formal proof of their Corporate licence (business licence for the commercial use of firearms).
This is a very brief and generic outline.
Should you have more questions feel free to contact me.