The animals on Australia's coat of arms: Emu and Kangaroo, are both able to be eaten. The Emu is our national bird.
I don't know if they're technically game meats but I can buy them both commercially. Kangaroo meat is in most supermarkets, and Emu in speciality butchers.
When I was in Namibia and saw oryx on the menu at a restaurant, I ask them if they really ate their national animal. The waiter's response was, "oh, heck, no. These oryx are from South Africa!" Touché.
I don't know if they're technically game meats but I can buy them both commercially. Kangaroo meat is in most supermarkets, and Emu in speciality butchers.