In a method of presenting or playing a wagering game, if a winning outcome is received, a first award is awarded and one or more awards associated with one or more winnings outcomes for the game are then enhanced for potential award in a subsequent game or games. In one embodiment, a base paytable or award structure is modified or enhanced, such as by adjusting awards or associating multipliers or bonus values, to create an enhanced paytable or award structure. The enhanced paytable or award structure may remain in effect for one subsequent game, a set number of games or a time, or until the same or another winning outcome is received in a subsequent game. The game which is presented may vary, such as being a wagering game of video poker, video slots or even a table game.