This is varied, but Amish across almost all orders do some gift exchanging for Christmas. Often there will be an Amish Christmas family gathering, but that gathering may not happen until February or March because of trying to coordinate so many schedules in huge Amish families. Often the gifts are not wrapped, but, especially for children, wrapped gifts are fairly common and the children are excited about the rustle of packages. So, you can see the answer is not one-size-fits all, it varies. I tend to see the most conservative settlements celebrating Christmas the least, and by that I mean the very, very conservative Old Orders or Swartzentrubers.