On the Edge
(or maybe it is Over the Edge - the other one is a collectible card game,
and I keep forgetting which is which)

The setting is a nowadays world with emphasis on strange things happening. Although it doesn't go to such extremes as cyberpunk and neo-gothic games, there is a lot of supernatural things going on. Character generation is very simple and there is an almost total absence of die rolling, allowing you to concentrate on your traits and development.
On the Edge is a registered trademark of somebody, but I forgot who. This will be filled in shortly.