Several robotics competitions are held locally in Australia on an annual basis, being both independently run events and subsidiaries of international competitions. If you would like to add to this list, please contact the secretary of the ARAA.
For university students:
UAV Challenge, Outback Rescue, Queensland.
NIARC (National Instruments Autonomous Robotics Competition).
For primary and high school students:
FRC FIRST Robotics Challenge.
A listing of international events can be found here.