I’m traveling on a business trip to Austin tomorrow and since it’s my first time in the city I decided to extend my trip for the weekend. Pretty much I’ll have Saturday and Sunday free so any recommendations about restaurants, wine bars, museums, or expositions are appreciated 
Thanks!
Terry Blacks BBQ is close to downtown and it’s convenient with minimal wait if any. Excellent for Texas BBQ itch.
Not particularly Texas cuisine, but I’m a huge fan of Uchi, a Japanese fusion/sushi restaurant. I also like wandering up and down Rainey Street and eating what catches our fancy at the time. A good variety of places ranging from the very casual to the high-end.
I hosted a business dinner at Juniper last year. It was really very good and a solid well priced wine list. Plenty of bar/food bar seating as well if your solo.
Le Barbecue is across the street from them as well. One of the top bbq spots. Both are in East Austin and a quick Uber from downtown.
The Domain is also a real cool area to check it for shopping, site seeing, hanging out, etc. The Punch Bowl is a cool spot for good bites and drinks.
Eden Cocktail lounge is a cool, fairly new speakeasy. It’s in an alley between 6th and 7th streets. Have to have a reservation. Devil May Care is another one. DMC has a very good food program as well.
Thank you all for those great recommendations, I ended up visiting (in order):
Devil May Care
Terry Blacks BBQ
Rainey Street
Bufalina
Additionally, I went to LoLo, a natural wine bar on East Austin that has a nice balanced selection that ranges from the very natty type to the perfectly clean natural wines.
Besides food and wine:
The Contemporary
Austin Art Garage
Bullock Museum
I’ve always been a huge fan of Odd Duck. It tends to have a very seasonal menu with a very noticeable Texas flair.