What are some fun things to do in Melbourne?

I’m visiting it next year. I’ll be out of my comfort zone, as I have Asperger’s and I don’t like having a change of routines and scenery. But it’s mild. I’m going there to spend time with my aunt, who has lots of health problems. When I’m not with her, what are other fun things I can do, while I’m there?

What are some fun things to do in Melbourne?
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