Australia were the national cricket team of the country of the same name.
The Fifth Doctor once wanted to witness the team's tour of England in 1902. (AUDIO: Alien Heart)
Amongst other contests, they engaged South Africa in a 2006 One Day International that the Sixth Doctor once watched on the Time-Space Visualiser. (AUDIO: The Fourth Wall)
They also tackled England in the 1981 Ashes series, which they both won and lost with Tegan Jovanka's help. (PROSE: Graham Dilley Saves the World)
Whilst in prison on Folly, the Fifth Doctor organised a cricket match involving the entire prison population in which he suggested some 900-odd people play for Australia while the other 900-odd play for England. (AUDIO: Doing Time)
Behind the scenes
Australia were partly to blame for Doctor Who's first-ever broadcasting delay. "Hidden Danger" was bumped from the 4 July 1964 schedule because of an overrunning test with England and a long tennis match at Wimbledon.