We just got back from Vegas this past Monday. We drove to Big Dogs Brewery. They have a decent selection but its probably a half hour away, not bad if you get a rental like we did. I liked the Wardog IPA. http://beeradvocate.com/beer/profile/3098
We also went to Ellis Island Brewery/Casino/Restaurant which you can walk to. It's about a block east of the strip, behind Paris I think. Beer was so so, but the steak and eggs for breakfast was good at about $6. It's kind of a hole in the wall but the food was good.
On a side note, if you get a car and want a scenic drive, try driving to Mt. Charleston and Red Rock. Mt. Charleston, you can drive to 8,000 feet and it dropped 30 degrees otw up. It's free, Red Rock was $7/car.