Dresden Files

The Dresden Files RPG is an evolution of the FATE (Fantastic Adventures in Tabletop Entertainment) system.

Important differences to call out between DFRPG (as the game is usually called) and most other gaming systems are:

1) No Characteristics/Stats: Skills are the only things you use.
2) 4 FUDGE (pre-cursor to FATE) dice are the only dice used: d6s consisting of two +sides, two -sides and two blank sides.
3) Aspects: These are the big enchilada of what this system is about. Aspects are the mechanical way players gain modifiers, as well as the metagame method for affecting the narrative.

What you've seen before: Fate Points.
These are similar to the poker chips in Deadlands and the WarHammer fate points. You spend them to activate Aspects (your own, the story's and NPCs'), as well as some Stunts and Powers. The trick with the Fate Points is that you want to get a decent flow of them going. You shouldn't be hoarding them unless you really want to grab the spotlight for a session. It's definitely a tricky balance to try and handle, and it requires a little more help from the players than other games.

There is amazing breakdown and discussion here of the DFRPG system here. Lots of good stuff.