I loved the Immigration Museum in Melbourne. The museum does a great job of outlining the migration stories in Victoria’s past, and of bringing them home to the visitor through interactive displays and period recreations. My favourite parts were the interactive interviews with potential immigrants, the recreations of the ships that made the journeys from Europe to Australia, and the real posters that encouraged Brits to move to the other side of the world.
Are you looking for a museum that explores the interesting social and cultural history of Melbourne? The Immigration Museum is that place. This museum has a mix of information about Melbourne's history, interesting exhibits about the different means by which people immigrated to Australia, as well as interactive areas on modern immigrants and immigration.Entrance fee is $10 and well worth it for an hour or two of exploration. If you're near Fed Square and need something to do, this is a good option.