Various embodiments of the present disclosure provide a gaming system and method providing a bonus game customizable with features of one or more primary games. In various embodiments, the gaming system may trigger the customizable bonus game in association with a play of any one of a plurality of different primary games, each of which includes one or more features. Before providing a play of the customizable bonus game, the gaming system modifies the customizable bonus game to include one of the features of the primary game that triggered the customizable bonus game that is not included in any of the other primary games. The modification is in addition to at least one prior modification of the customizable bonus game. Thus, the gaming system enables a player to customize the combination of features included in the customizable bonus game by playing a variety of different primary games.