This game would work so well with Pre-Kinders and Kindergarten students! And it doesn't have to be seasonal. You could do also it at the end of the school year.
Place a small but "worthy" and unbreakable item in a box. Wrap it. Place it in a bigger box. Wrap it. Repeat however many times you wish.
You also need two oven mitts and a pair of dice.
To play, everyone gathers in a circle. For a classroom, I suggest sitting on the floor.
The first person tosses the dice. First person to roll a pair gets the first "whack" at the box. They put on the oven mitts and try to open the package any way they can (without using their teeth!) In the meantime, the dice keep getting passed from person to person until another pair is rolled. Then that person puts on the mitts and has their turn beating on the box.
This rolling and beating continues until the prize is eventually recovered. But, warning! This does eat up a lot of time!