Savage Worlds is my game of choice. Does what I want it to do incredibly well, ignores or minimizes the stuff I think is unimportant. Can adapt to nearly any genre easily, is easy to learn and lots of fun (focus on fun). Bonus for gamemasters: little prep and less bookkeeping.
I've played Hero and liked it for tremendous granular control, but there is a lot of overhead to play. Not my system of choice to play, and I would hate to run it.
GURPS is like Hero, but I didn't particularly enjoy playing it. Some great supplements, though.
Chaosium's Basic Roleplaying system is a good, solid system (I've enjoyed RQ, Stormbringer and CoC in the past), and I wouldn't say no to playing various incarnations of it. I'm not a big fan of the way the new generic book is organized, but the system is still good. (Although I'd default to Savage Worlds in most cases.)