philomenalia

From Downtown I would go East Side. I would also say there's great places to hang out with local beers that aren't a brewery itself. Lots of places will have the Pinthouse Electric Jellyfish, which is to me is kind of the OG in juicy/hazy IPAs in Austin/Texas, doesn't get distributed widely, and is my favorite. Here would be my east side itinerary:

Zilker - Beer's decent but a good hang; The Spicy Boyz food truck is also good (get chicken and the roti with curry dipping sauce)
Lazarus - My favorite brewery in ATX. If hungry, great carnitas taco
Whisler's - Across the street from Lazarus. More of a cocktail bar, but a good hang if looking to quickly change locations

The new(ish) big pinthouse is a bit out of the way, but it's a nice space. If you're going to drive a bit, though, I think Meanwhile brewing is more fun with a better beer-lover's lineup.

Elizabeth Street is great, breweries that direction that I would recommend are ABGB, and further south is 512. 512-Good beer, but kind of a stand around a warehouse and drink kind of joint. I always only ever picked up there. If you're getting down that way I'd roll back up to the Pinthouse or Meanwhile recommendations instead