Swords Without Master by Dig a Thousand Holes Publishing (Creator of the award winning game Dread) is an amazing table top RPG that can help players and GM's become better role players. If you're looking for a good narrative heavy game that will help you grow as a story teller and a role player then get Worlds Without Master 3, and go to page 14.

The quick and dirty on this game is that the games narrative tone is decided by the outcome of a die role, and the game has specific mechanics in place to force the players to tell a narrative that follows specific story telling tropes (characters will learn from previous lessons or demonstrate that they will never learn that moral, your forced to revisit parts of the story at the end, ect..) There is just enough mechanically to make you learn to tell a good story and not enough to get in the way of a story.