Everyone talks about Street Fighter or Tekken, but let's hear it for the weirder, unique, underrated, or forgotten fighting games out there.
My favorite is a Gundam game. Federation Vs. Zeon and it's sequel, Gundam vs Zeta Gundam, made by Capcom. The original games in the Gundam Versus franchise of games. imo the series was at it's best when it was handled by Capcom.
Also both Def Jam fighting/ wrestling games for PS2. I posted about a tournament video for the second one recently.
Again, a banger soundtrack and a solid engine aped from the AKI WWE wrestling games on N64. Loved beating up on the proxy Ja Rule character again and again.
I played Def Jam with a friend of mine once, fun game