[@Leidenschaft]
What about kinda-paranormal-but-not-exactly-magical characters? For example, a parapsychic successful result of the MK-ULTRA program who was endowed with mild reality-adjusting capabilities stemming from a particularly inspired state of mind which must be induced via meditation and LSD? A terribly mentally shaken person plagued by flashbacks from pasts that have never been and memories of places he never visited, gone rogue and hunted across the globe for the contents of his head, grasping for any straw that could keep him from falling into the abyss.

Or do we have to be like [i]completely[/i] mundane guys mandatorily fully out of their depth at the start of the game?