For me, my favorite video games are Halo, Assassin's Creed and Tekken. I don't really see people talking about a Tekken much here so I just wanted to throw it out there XD
I couldn't imagine playing it just like that. There are far more entertaining fight games to play alone (not that I play any, to be honest).
It is quite fun however to play it with friends, even more when noone really knows the combos and hit the controller like mad^^ have done so a few times. You just can't take it seriously, that's why it's so funny (especially certain characters (hum) and combos). But it still makes for good competition. I usually use that ghost samurai with the katana. Hitting people with katanas is fun. If only he wouldn't sit down stupidly as often...
I have the old Tekken's 2 and 3. I occasionally play Tekken 4 but I've gotten tired of it pretty much. But when I was younger I used to play it for a few hours every day with my neighbors.