The Grattan Institute is advertising for junior economists to work as associates. The job involves working with a program director (me on higher education and my colleagues who run schools, cities, energy and productivity programs) on various projects. Associates rotate between programs, so there will be opportunities to learn about several areas.
Details here.
Andrew Norton 
Econ student and public policy intern here, if I had already finished my degree I would be applying for this job in a heartbeat.
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