Misty Ruins

From BoardGameGeek:

This is a dungeon crawl with an original twist. You don't know who you are. All characters are listed on a summary sheet with their attributes. As they encounter monsters, locked chests, and locked doors, their skills are tested. By process of elimination the the players find out who they are and where they are from. There is combat, buying and selling items, and building the dungeon maze with cards. Gold and defeated monsters combine for victory points with a bonus for knowing your character's identity. Play can range from half an hour to an hour--sometimes a little longer with 5 players.