If Boxing and Sword fighting count, the only fighting games besides Smash Bros. that I have played are Wii Sports Boxing and Wii Sports Resort Swordplay.
I've played the Vs series(Marvel Vs Capcom, Xmen Vs Street Fighter, etc...), Street Fighter series(definitely NOT a fan of any of those games), Soul Calibur series(loving the 5th game).
Not really interested in Tekken or King of Fighters to be honest.
I've played some Tekken. Some of the Marvel vs. Capcom games, a few Street Fighters. Mortal Combat at times (the snes ones were entertaining). I've barely touched any Soul Caliburs.
Not going to list them all out since my preferred genre of games is fighters, but I will say I have played ALLOT! Some you probably never even heard of, but my all time favorite is the Dead or Alive series.
Mortal Kombat
MvC2
MvC3
BlazBlue: Calamity Trigger
BlazBlue: Continuum Shift
Street Fighter 2 Turbo
Street Fighter IV (Super and Arcade)
Soul Calibur 2-5
Tekken Arcade
Sonic the Fighters
TvC
I didn't really play a "fighting" game more than Super Smash Bros. to be honest. I am not really addicted to violence games, but Super Smash Bros. is an exception because this game is featuring most of my favorite characters and places, but also because it's probably less violent than most of the fighting games.