Quidditch came to Australia some time in the eighteenth century and is very popular, not least because of the large areas of uninhabited outback where Quidditch can be played without Muggle notice. Australian teams are known for both speed and showmanship (QA8).
The star Chaser from the 1966 Quidditch World Cup, Royston Idlewind, later served as the International Director of the ICWQC from 1971 to 1974 (Pm). It was a decision he may have come to regret after the tumult that took place during the 1974 tournament.
Although Australia was a participant in Quidditch World Cup tournaments, there are not any Quidditch or other wizarding sports listed on its Wikipedia page (Wikipedia).
From the Web
Writing by J.K. Rowling on Pottermore:
Harry Potter Wiki: Australian National Quidditch Team