There's a few nice bars - Rock Bar, Norman etc down Call Lane. There are tons of nice restaurants, steak house, italian etc depending on what you like. There's also the Howard Marks Tapas bar - Azucar which is in Brewery Wharf - that's great for a drink or food. I personally don't think much of the Sky Bar (it's in Mint Hotel which used to be City Inn) - it was just full of wannabe WAGS.
If you're at TOTB I guess you won't be in Leeds to see any of the daylight hours - however there's a new Damien Hirst exhibition in the Leeds Gallery if you're into that kind of thing.