Preheat oven to 350 degrees Fahrenheit.
Pulse the Oreos in a food processor until they are finely crushed.
Mix together cookie crumbs and butter and press firmly onto the bottom of an 8x8" baking dish.
Beat the cream cheese, sugar and peppermint until well blended. Add the eggs, and mix just until blended.
Pour mixture over the crust. You can spread it out evenly with a spatula, or gently shake the baking dish to even it out.
Bake for 26-30 minutes or until center is nearly set. Allow to cool and cut into 9 squares.
Cut off the stem tops at the widest part of the strawberries.
Squeeze or spray whipped topping in the center of each piece of cheesecake.
Place inverted strawberry on top and gently press to resemble a Santa Hat with fur trimming.
Pipe a ball of whipped topping on top of hat.
Refrigerate for several hours.