Quick Resolution Mechanic
Basics: Roll d10+relevant stat and any other reasonable bonuses (arrived at by mutual agreement) VS. Referee roll of d10+modifier (based on situation/adversary). Obviously the higher the mod, the more it cancels character's bonus, making it a wash. It can exceed the character's bonus, meaning the character is relying on dumb luck and/or divine providence.
Here's where it gets interesting
If the character should succeed and his roll is a 10, note what was specifically rolled for, ie sneaking, high jumping, bluffing, etc. From then on, whenever that conflict is tested again, the player rolls a d12 instead of d10. Anytime a d12 resolution check succeeds and is a 12, note a +1, +2, and so on, beside the check. From then on, that modifier is added to the player's d12 roll. The maximum bonus is +5.
Please feel free to offer comments and (constructive) critiques.