well, the bar at the at&t center hotel on campus has a lot of tv's. i'm not sure if i know of any actual "sportsbars" near the stadium. schultz beer garden is also popular.
Posse East or Crown and Anchor. They're not right next to the stadium, just a couple blocks north on San Jacinto but both are cool bars to hang out at.
Sammy-- Those above are basically the closest ones to the stadium.
What is your goal? To watch some of the other games before Texas-Baylor? To soak in some of the UT gameday atmosphere? To drink cheap(er) beer?
Which one you decide on really depends on your goals.
Scholz and the Posse both have some TVs, but I don't remember if Crown and Anchor has a decent sports-watching setup. But, C&A has a good beer selection and a tasty jalapeno cheeseburger.
Does anyone know if DoubleDave's Pizza still over there north of the Posse? And if so, do they have any decent TVs these days?
Yes, Double Dave's has pretty good tv's. About 5 of them.
Also there is Dog & Duck at 17th & Guadalupe, but they may only have a couple of tvs.
Lots of tvs are at Uncly Billy's on Barton Springs but then again, that is not walking distance. But the #3 bus goes north from there and gets you close.
Posse East is greatness. Reasonably priced pitchers and a good beer selection. Underrated food, too. The sheriff sandwiches, cheeseburger, and Mexican plate are all good. Lots of TVs on game days.