Check out Rainey Street AND 6th Street for cocktails and the great nightlife.
Go on a hike at Barton Creek Greenbelt. You could also climb Mount Bonnell or go on a scenic walk around Lady Bird Lake - all great choices.
Get some famous BBQ at Franklin's (long wait - but worth it) or you could try Terry Blacks.
Get fitted for some new boots at Allens Boots on South Congress.
If you are staying in Dripping Springs try a tour of Deep Eddy Vodka Distillery. There are many wineries and tasting rooms for craft beer and spirits in Dripping Springs too. Have fun exploring!
Take a swim at Hamilton Pool Preserve. This is a popular spot and may require a reservation.
Unique breakfast and lunch place with great food.