Pussycat will never be known as the good will ambassador for Austin.
Some of my favorite clubs for music are Antones, One-2-One, Saxon Pub, Cactus Cafe, Stubbs, and Central Market on North Lamar.
Some incredible restaurants near central Austin depending on the type of food you are looking for. Anyone who says the cuisine in Austin is limited to burgers, hot dogs, and tacos is an idiot. Austin is home to some of the hottest chefs in the nation.
https://www.theinfatuation.com/austi...rants-hit-list
https://www.tripadvisor.com/Restaura...tin_Texas.html
https://www.zagat.com/austin
As for other things to do other than eat and listen to live music -- in addition to the activities listed below, there is usually something going on at Bass Concert Hall and the Zack Theater.
And maybe a sporting event at the UT campus.
https://travel.usnews.com/Austin_TX/Things_To_Do/