I have a love/hate relationship with Tekken. To say that I suck would be to say nothing; I am, hands down, the worst Tekken player in the entire world, unless you count somebody with no hands. Even then, I'm pretty sure a guy using nothing but his feet to control the game could beat me.
Yet I enjoy playing the game very much anyway. I jokingly refer to Tekken 6 as "A dress-up game with minor fighting elements"; I love playing the scenario missions and fight vs. AI and collect different costumes. I like the characters (dream team: Devil Jin, Lili and Asuka. And maybe Heihachi). I like the game's aesthetics. So it's a very frequent guest in my PS3's disk drive.
Do you also have games that you can't play worth crap, but still love playing?