So i tend to make a lot of worlds based on a 2d(Insert dice) system. With variations here and there depending on difficulty of the npc. I haven't really had too many complaints about the system aside from the fact that there are no real character sheets. I have players make their characters with a back story, expanding and essentially leveling by discussing with the gm what experiences they feel they have dealt with in order to advance their character. Just wanted to know if there is any system like that? Also just general thoughts on the idea of majority narrative system loosely based on rolling rules.

(I enjoy using this style of running so i can pick up and run with pretty much any universe)