@alis the whole arts precinct is good. NGV has the international gallery (where Yayoi Kusama is) and also the Australian gallery at federation square.
There are lots of good food options. I like Brunswick St in Fitzroy: https://www.visitmelbourne.com/regions/melbourne/destinations/fitzroy/brunswick-street
Went here a couple of weeks ago and it was excellent https://elektrafitzroy.com.au/
I like wandering around Chinatown and trying out any place that seems relatively busy: https://chinatownmelbourne.com.au/
I don't do a lot of shopping so I'm not much use on that front. Maybe Chapel St? https://www.chapelstreet.com.au
Or Gertrude St? https://www.visitvictoria.com/regions/melbourne/destinations/fitzroy/gertrude-street
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