Tekken was always an arcade game for me. I could never get full enjoyment out of it in a party setting unless that party was at an arcade.
The thing with Tekken at home for me was that you would always end up playing the guy that was so good at the damn thing he would constantly taunt you. Or, somebody would find one character with one move, and proceed to kick every person playing as every other character's ass all night. Even when you chose that same annoying character he had you beat.
I would have to say that for consoles my choice of fighter is Soul Caliber II. Not three, two. This was truly a game where the characters were quite well-balanced, and even losing was fun. Also, fighting with weapons was always more attractive a concept to me. The only martial fighter I've ever seriously enjoyed as much as Soul Caliber is Virtua Fighter. DOA had its moments, but it was too unforgiving. Tekken had too many characters, and they weren't balanced well enough. Mortal Kombat is pretty fun, but I just wasn't getting into the art style and tone of the game. I still love Sub-Zero though.
So, Soul Caliber was the right game for me. I can go into that game being able to enjoy playing every single character because their styles of fighting stand out so much easier to me since they use weapons, as opposed to fists and feet with the occasional energy blast.
I'm also a bit biased because playing as Link on the Gamecube version is just so awesome for a Zelda fan to behold.
So, anyway, Tekken, yeah. I got off on a rant there, sorry, but, Tekken is pretty fun. I enjoy it at parties, and it makes a great tournament fighter with its interesting character designs and mix of Mortal Kombat with Street Fighter style/tone.