Not necessarily Jenga-simple, but I've also come to realize that I'd much rather play 2-3 rounds of a 30 minute game with friends than try to get through a 120 minute round of one game where it's not clear if we're playing correctly or how we're doing in the game.

In this regard I (we) have had a lot of fun with King of Tokyo (the Power Up! expansion is cheap and IMO required). There is also the newer King of New York that supposedly fixes some balance issues (and a Power Up! to that as well).

I've also heard good things about 7 Wonders.