Because I stumble over the word Asperger when I say it, I don't use it much. (probably trying to avoid having it sound like Ass-burger.) Instead I just usually say "Autistic" when referring to myself or my dd. My husband and I have joked with each other about things and said, "You/they wouldn't understand. Its an autistic thing."
Some other names for specific things: "Helicopter hands" are what my husband calls my hand wiggling/flapping that I do. Sometimes he teases and asks if I'm ready for take off. I know its all in fun though. My cousin also makes fun of me like that, and I make fun right back at him by "meowing" since thats a weird thing of his. (He meows a lot) (un dx'd AS) So we have a battle of the autistics in our livingroom. haha
Sometimes it can get pretty crazy in here with 3 on the spectrum, and my husband has ADHD. He gets a big kick out if when my cousin, my daughter and I all start being echolalic about the same thing or the same song. LOL When my daughter starts doing something odd, they immediately all look at me, shrug, and say.. she gets that from you.. LOL
So, not quite as much pet names for Asperger's itself, but a lot of joking and poking fun at each other.