Is there such a thing as a third-person fighting game? Most people don't think of the genre in that way. We play either 3D fighting games (those that let you move around the environment) or 2D fighting games. There aren't any "third-person" fighting games because, once you get into that territory, the game often drops the fighting aspect for a more traditional action game.
Gladiator A.D. breaks the mold by being an over-the-shoulder fighting game. There is a 2D, side-by-side element to the combat, as the camera shifts between views depending on what's going on. But the primary view is just behind the shoulder of your gladiator. It's an interesting perspective that'll definitely change the way you look at fighting games.