One of my favorite games (and definitely my favorite Carcassonne) is Carcassonne: Hunters and Gatherers. It's a nice mix of luck and skill with extra potential for viciousness. The scores are often fairly close, but every once in a while, someone gets trounced.
And in my defense, I was teaching this game. I don't remember the score; I've erased it from my memory.
It's not the greatest pic, but if you look closely you'll see that my yellow opponent has not only claimed the largest river ever, but has also stolen a ginormous field (both by having two pieces to my one).
Clearly I'm an excellent teacher. Ahem.