> For the past couple of weeks I've been trying to do something like that for DnD. Come up with a system that doesn't have countless intricate rules and tedious arithmetics, but instead focuses on the social/creative aspects of the game, encourages creativity, improvisation, and storytelling.

No shortage of rules-lite RPGs out there, with varying degrees of similarity to D&D. FATE and FUDGE are the two that come to mind, but there are lots of others.

There Is No Spoon, a simple RPG that was big on RPG.net a while back is another good example.