There was a whining committee at my last job, and I refused to contribute. Granted, a lot of the whining was not only repetitive, but petty. There was one guy who actually complained that we had a 40 hour work week. Any wonder I spent as much time away from the office as humanly possible?
You’re all approaching this the wrong way. The problem isn’t that you don’t play well with others. It’s that they don’t play well with you. 
This could have been written by me. I used to participate in office parties and all that crap; for a while I was even in a “birthday club.” Then I decided that I really didn’t have anything in common with most of the people I work with and just stopped taking part in any non-mandatory office activities.
I wanna be a hermit.
Hermits are cool… We wouldn’t have to deal with the whole “Weather conversation” thing. I hate the weather conversation…
grr…
Double heh. My last review included “has a sarcastic streak and uses it to highlight concerns and make jokes”. The comment was in the “Good Things About [Balance]” section, along with “stays to himself and does not require much supervision”.
It’s nice to be appreciated for what you are.
I don’t socialize much at work either. Takes away from my SDMB time. 
I wanna work for Algernon. He makes a good point, being an introvert does not equate to “does not play well with others.”
I don’t like after-hour picnics, parties, whatever. Especially since it’s about an hour and a half drive to any of my coworkers homes. Luckily, the boss doesn’t grade my job performance on party attendance.
I work in a fairly small shop and get along with all my coworkers. I’m a good listener, I don’t talk about people behind their backs, and I’m always willing to help them out. If conversation turns to the Final Four and I don’t have anything to contribute, it doesn’t seem to matter much.