I've always been attracted to wacky camera work. Everything from Domino to Chung King Express (yes, I just put those in the same sentence). In that sense, Three Kings grabbed me from frame one. Flashy, and blurry, and crooked, etc.
I love the plot. A treasure hunt movie with a twist, taking place somewhere around Kuwait, after the Gulf War. I don't think I've ever seen a movie about the Gulf War other than this one, so being the first it had something going for it right there.