Adventure game
In adventure games, the player usually acts through a character in the story.  This character sometimes has a history. For example Roger Sams in Bad Mojo is a sad insect scientist and Alexander in King's Quest VI is a prince trying to rescue a princess.  Other player characters have almost no history.  In Myst and Zork, the game does not even give the player character a name.  Other characters and the game's voice call the player "you."