Rolling characters was a game in itself back in the Classic Traveller days. Generally, failed characters like that did not get played, but were used as NPCs when one was needed.
I'm an impatient kinda guy. I like twists that make you rethink what your character is doing (or even boons that make your character great at something you'd never normally consider doing...). I just don't like going through character gen until I finally get something decent. I'm not that committed.
On that topic, I quite like Sorcerer. There's basically four stats, all your skills use a single 'cover' skill which represents what you actually do...
Plus you assign a set number of points, which is a style of game I tend to gravitate to these days.
(I also like Unknown Armies in that your toughness as a character depends on what you're willing to do, and the biggest rewards go for the biggest risks).