I had a game that ended up with one of those. I fought a couple of early wars and became one of the top civs in the game.
Eventually though, this lead to a scenario where I'd fight one war, drive some civ down to a couple of cities, they'd become somebody's vassal, meaning I now had a war with a little civ and a "big civ" (i.e. one about my size). I'd finish the little civ off, then beat the "big civ" down to just a couple of cities, when IT would become a vassal of some other civ, etc., etc., etc., etc.
After about the 4th iteration of this, and realizing that it would likely continue for another 4 or 5 (I was playing with something like 11+ civs), I just quit the game. I really don't enjoy the warmongering experience, but once I'm in a war, I stay in it as long as it appears I'm winning.