Gaming machines are disclosed having a basic mode defining a plurality of reels and a bonus mode defining a plurality of stations about a game board (e.g., MONOPOLY board) traversable by a token identifier. The disclosure describes a plurality of play features for the basic and/or bonus modes including (1) a feature allowing the player to select a game token; (2) a feature allowing the player to predict and wager on landing position(s) of the token identifier; (3) a feature allowing the player to obtain deferred-execution instruction(s) which are exercisable by the processor to override later-issued instruction(s) otherwise to be executed by the processor; (4) a feature in which movements of the token identifier are determined according to movement tables corresponding to the various stations of the game board; (5) a feature in which escalating bonuses are awarded for reaching a designated bonus square (e.g., the `GO` square); (6) a feature in which bonuses are awarded for completing groups of stations (e.g., color groups); and (7) a feature in which the gaming machine includes two bonus modes, each entered upon certain symbol combinations in the basic game. The first bonus game provides an award selected from a plurality of fixed values and multipliers, and the second bonus game moves a token identifier on a game board and provides an award determined by the landing station of the token identifier.