Prepare the crust by combining graham cracker crumbs, sugar, and melted butter.
Press the mixture into the bottom of a lined baking dish and refrigerate.
In a large bowl, beat the softened cream cheese until smooth.
Add powdered sugar, vanilla extract, and peppermint extract, mixing until combined.
In a separate bowl, whip the heavy cream until stiff peaks form.
Gently fold the whipped cream into the cream cheese mixture.
Spread the filling over the prepared crust evenly.
Chill in the refrigerator for at least 4 hours or overnight.
Garnish with whipped cream and crushed candy canes before serving.