A gaming system, apparatus, and method are disclosed providing improvements to feature games played on slot machines or other gaming machines. A bonus symbol feature game selection is provided that determines multiple feature games to be made available for the player by a player selection. The games made available are determined at least in part based on the base game result. A wheel enhancement feature game is provided in which a wheel is modified with various types of persistent modifications selected by player picks. The enhancements accumulate until a wheel spin is achieved, building excitement with the player. Chances of achieving a wheel spin may also be altered by the persistent modifications.