Hotel Derek, Underbelly, and Hay Merchant are
Try Underbelly with a drink at Hay Merchant next door. You're welcome.
Hotel Derrick right down the road and near NRG stadium.
Which game?
all excellent choices. ZaZa is great too. Derek/ZaZa will both be pricey (probably $150+ per night, if I had to guess).
For other restaurant choices....
Italian - Poscol
Americana - Liberty Kitchen, Union Kitchen
Great Burger - Lankford Grocery (featured on Diners, Dives, and Drive-Ins with crazy blonde headed tool - burgers are really messy, so plan appropriately)
Mexican - Pappasitos (there's one right across from Reliant Stadium - It's a chain, but it's excellent food)
For drinks:
Anvil - makes great specialty drinks, but can get really crowded
Pub Fiction - Neat bar, lots of TVs
Check out any bar in the Rice Village area (closer to Reliant than the others). Sherlock's Pub, The Ginger Man are a few that I frequented as a grad student at Rice
For breakfast:
If you've never had any, find a Kolache Factory and indulge. Breakfast foods (eggs, sausage, ham, bacon, chorizo, etc...) wrapped in sweet bread.
For a more traditional breakfast, go to Le Peep (one in Rice Village, one near Hotel Derek). Be a man and get the lumberjack. Pancakes are excellent.
Also probably worth getting a good breakfast taco while you're here. A place like Brothers Taco House or Tacos A Go Go.
If you have any specific questions, feel free to PM me. Lived in Houston since 2006.