Although gambling is not allowed in the state, go across the Missouri River into Iowa to visit Council Bluffs to gamble at several casinos including Harrah's, Ameristar, and Horseshoe.
Visit Lincoln 50 miles west on I-80 to explore various museums and shopping there. Or catch a University of Nebraska football game, with a mean streak of sold out home games.
The nearby cities of Bellevue, La Vista, Papillion and Ralston also have various shopping areas.
There are also orchards and vineyards in Nebraska City Kimmel Orchard and Vineyard or Arbor Day Farm about an hour drive from Omaha.