Dead or Alive 4 is one of the best games for fighting genre on 360. Others might be Rumble Roses, but thats kind of a stereotypical game.
there isnt really any other fighting games out for 360 man you just have to wait and see...or if u dont mind playing xbox or ps2 games
My friend have Dead Or Alive 4 for the 360 and i think its an amazing game. Great fun, entertained us for hours.