Games that are Narrative Based

A while back I played a game called "Indigo Prophecy." The main story line gets a bit convoluted towards the middle, but the way in which the story line drives the game play is truly an interesting experience. The game begins with your character, Lucas, committing a murder. Lucas wasn't in control of his body at the time though, and when he is back in control he has a corpse at his knees and evidence to his involvement all around the scene. As Lucas, you must hide the evidence and then escape the scene. Then, after you've escapes as Lucas, you take control of the two cops who arrive at the scene and with them you must find all of the evidence that you hid as you were playing Lucas. The game progresses in this way until the end, making you play a game of cat and mouse with yourself while trying to uncover the truth of the murder.