Methods of playing games and gaming systems and devices useful for playing games. Gaming devices include a first gaming unit for randomly selecting and displaying indicia associated with play of a primary game and for generating a signal relating to play on the first gaming unit. The gaming device also includes a second gaming unit connected to the first gaming unit for conducting an ongoing bonus game and enabling participation by a player in the ongoing bonus game in response to a signal generated by the first gaming unit. The ongoing bonus game may be administered by and communicated from a second gaming unit in the form of a host server to a number of networked gaming devices. Players may enter and exit play of the ongoing bonus game while it is still in progress, participating only in a segment thereof.