We homeschool, so one of the traditions that we have is that we take everybody's birthday off from school if it falls on a weekday. It is one of the few times that I have seen kids hoping their birthday falls during the regular week instead of on a weekend.
We also celebrate Pie Day instead of (American) Thanksgiving. I have detailed the story on here before in more detail, but basically, being Canadians living in the US, we would celebrate Canadian Thanksgiving in October, which left our American Thanksgiving Day wide open with nothing special going on. When our kids were young, my husband came home with a couple of Costco pies on the night before Thanksgiving. The kids asked if we were going to eat pie all day, and thus, a tradition was born. My husband told them they could have pie for every meal if they wanted, but only on that one day, so now we have Pie Day every year.