Queensland Day in Australia

Mabo Day in Australia on June 3 (It commemorates Eddie Koiki Mabo [c. 29 June 1936–21 January 1992] a Torres Strait Islander whose campaign for Indigenous land rights led to a landmark decision of the High Court of Australia that, on 3 June 1992, overturned the legal fiction of terra nullius which had characterised Australian law with regards to land and title since the voyage of James Cook in 1770);

Western Australia Day on June 3 (celebrated on the first Monday in June);

National Banana Bread Day in Canberra, Australia on June 7;

King’s Birthday in Australia on June 10 (celebrated on the second Monday in June. Except Western Australia and Queensland);

National Vegemite Day in Australia on June 16;

World Scleroderma Day on June 29;

International Tartan Day on July 1 (Tartan Day is a celebration of Scottish heritage on 6 April, the date on which the Declaration of Arbroath was signed in 1320. It originated in Canada in the mid-1980s. It spread to other communities of the Scottish diaspora in the 1990s. In Australia the similar International Tartan Day is held on 1 July, the anniversary of the repeal of the 1747 Act of Proscription that banned the wearing of tartan. Tartan Days typically have parades of pipe bands, Highland dancing and other Scottish-themed events)