I'm fond of the Blades in the Dark breakdown of Action Ratings, but also games where you can have player-defined specialties such as their career or backgrounds that provide the sole or main bonus to a roll - like Cthulhu Dark or its descendants (Trophy, Cthulhu Deep Green or my own Pipedream RPG). 13th Age does this too in lieu of a skill system to go alongside its 3e/4e hybrid class system.
Thourne, are you thinking of the same range of RPGs as Tun Kai Poh, or have you got different ones in mind?For years now I've had a preference for systems that handle skills by not using them.
Instead they give characters descriptive elements that explain their skill areas.
Examples:
Big City Corporate Accountant - Roll it for knowing about living in the big city, math, accounting, general business knowledge.
Night Shift Cabbie - Rolled for knowing directions, where things are, places to avoid, driving.
That sorta thing
HeroWars/Quest might be another example.