Pabai Pabai and Guy Paul Kabai v. Commonwealth of Australia.
'On October 22, 2021, Wadhuam Paul and Wadhuam Pabai, First Nations’ leaders from the Gudamalulgal nation of the Torres Strait Islands, filed a case challenging Australia’s failure to cut emissions and asserting that the government’s inaction will force their communities to migrate to new areas.'
(Sabin Center for Climate Change Law, Columbia Law School, New York)

http://climatecasechart.com/climate-change-litigation/non-us-case/pabai-pabai-and-guy-paul-kabai-v-commonwealth-of-australia/