Try Johnny's Cafe at 25th and L in the Stockyards area, or Piccolo Pete's just south of 20th and Martha. Both of these are in east Omaha and are old-line Omaha steak houses. Also worth trying is Warren Buffett's favorite, Gorat's, at about 50th and Center. Ask for the "Warren special" - a T-bone with a double order of hash browns.
PS: Ask Troy about his ribeye at Johnny's when he came down for our CRO class!