The 9th Australian Division, The Rats of Tobruk for ANZAC Day April 25

Australia sent military forces to the UK from 1939 to defend the homeland of many of their ancestors. ANZAC Day commerates the Australian-New Zealand Corp which was sent to the Middle East during the First World War
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ANZAC Day also commerates the Australian and New Zealand Army Corps contribution to the Battle of Gallipoli
(plasticsoldierreview.com)

Later on, ANZAC forces fought in the Pacific campaign

and even later on they fought in Korea and Vietnam.
Further actions Australian and New Zealand troops have been involved with include the Gulf War in 1991, Operation Restore Hope in Somolia in 1993, East Timor, Iraq 2003 and Afganistan 2001