Different game genres differ in what challenges they pose to a human or machine game player. Some games require long-term planning, others complex visual processing, fast reactions, social and emotional modeling, judicious resource balancing, or the ability to predict complex environment dynamics. This chapter inventories a number of popular game genres, discusses their particular challenges, and gives examples of deployed AI as well as research projects on gameplaying in each genre. The genres are board games, card games, real-time 2D and 3D video games, dungeon crawlers, puzzle games, strategy games, text games, and social simulation games.