In Legend of the Five Rings, character creation is a game of 20 questions, where you answer things about your PC. What clan are you from, which family within that clan, what school did you train at, who is your lord, what overriding mission do you have, what personal goal do you have that might conflict with that mission, what particular training did your parents encourage you to get, how have you distinguished yourself so far, in what ways do you disagree with your clan, etc etc.
Most of these give you either skill points or ability score points.
It's a fun system that works for a well-developed setting, but I'm not sure it would easily translate to a more world-agnostic game like D&D.