Holy cow, why did I wait so long to read this thread? Good stuff here.
I share much of the common dad shtick mentioned like intentionally mispronouncing words or people's names, pretending I used to be a professional athlete, movie quotes, and singing and dancing in the car (usually to some old school 80s songs).
When my wife isn't feeling well or something hurts, I usually ask, "Do you need a shot of penis-illin?"
When my son and I are at Target, for example, with my daughter (15), we like to say loudly to her, "HEY, DON'T FORGET TO GET SOME NEW UNDERWEAR."
My wife and I used to get people off-topic greeting cards for their birthday. For example, we might get someone a bat mitzvah or get well soon card for their birthday. Some friends immediately laugh and get that it's a joke. Some just looked at us weirdly. Once, we gave one friend, who is a very large white guy, a card that talked about him being a beautiful African princess. He was in tears reading it. I think we need to resurrect that shtick.
Whenever using a stud finder, point it at myself and make a beeping sound.
Loud obnoxious embellished laughing in public at something my wife or kids say.
Make up a name in the Chick-Fil-A drive through. Sometimes it makes us laugh so hard that it's difficult to complete the order.
Whenever my kids see a "Road Work Ahead" sign, they say "Road work ahead? I sure hope it does!"
"Not since the accident" is good shtick. For example, if someone asks, "Do you play basketball?", I reply, "Not since the accident." And just leave it at that. Maybe look away and stop making eye contact.