A “dual” gaming unit or machine is configured to implement both one or more traditional casino-style wagering games, such as games having outcomes determined primarily by chance and not skill, and one or more games which are traditionally not casino style games, such as amusement-type games or games having amusement-type game components, such as games where the outcome is determined substantially by skill. The wagering game portion of the gaming machine may award monetary awards to the player for winning wagering game outcomes, and the amusement portion of the gaming machine may be used to award promotional prizes to the player. A player rewards system may include such dual gaming units or other award dispensing mechanisms.