Portal:Australia/Anniversaries/May/May 4
- 1826 – English-born bushranger Matthew Brady and cannibal Thomas Jeffries are hanged at the Campbell Street Gaol in Hobart, Van Diemen's Land.
- 1912 – The play On Our Selection, written by Bert Bailey and Edmund Duggan and based on the work of Steele Rudd (pictured), is first performed in Sydney, New South Wales.
- 1942 – The five-day Battle of the Coral Sea, fought between the Imperial Japanese Navy and Allied naval and air forces, commences in the Coral Sea, between Australia and the Solomon Islands.
- 1960 – Comedian and television presenter Andrew Denton is born in Sydney, New South Wales.
- 1986 – The four-day Australian Anarchist Centenary Celebrations, commemorating the foundation of the Melbourne Anarchist Club, conclude in Melbourne, Victoria.