Adventure games are usually based either on exploration or on puzzles. These games usually require a little more mental actvity in order to complete.
Some may include combat sequences, but often this is not the basis of the game.
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GAMES, RACING
Racing games include Arcade through to simulators. Some offer the ability for closed circuit through to street racing.
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GAMES, SHOOTING
Shooting games primarily include First person Shooters where you control the character through their eyes, or Third Person Shooter where you view from behind the character and control their actions.
An additional type is the RPG or Role Playing Game which combines Shooting aspects, primarily in Third Person Shooter style.