In a mixing bowl, effortlessly combine the graham cracker crumbs with the melted butter. Stir until all crumbs are beautifully moistened, like wet sand.
Press this crumb mixture firmly and evenly into the bottom of a 9-inch springform pan to create a solid crust. Place it in the refrigerator to chill while you prepare the delightful filling.
In a large bowl, beat the softened cream cheese with the powdered sugar until it's wonderfully smooth and creamy, with no lumps in sight.
Gently stir in the vanilla extract and peppermint extract into the cream cheese mixture until they are perfectly blended.
In a separate, well-chilled bowl, whip the cold heavy cream until it forms soft, airy peaks.
Delicately fold the whipped cream into the cream cheese mixture using a rubber scraper. Mix just until combined to keep that lovely light and airy texture.
Fold ½ cup of crushed peppermint candy into the filling for a pleasant crunch and burst of flavor.
Pour the creamy cheesecake filling over your chilled crust in the springform pan, spreading it out evenly with a spatula.
Sprinkle additional crushed peppermint candy over the top for a festive finish. Cover the cheesecake with plastic wrap and refrigerate for a minimum of 4 hours, or ideally overnight, until it is completely set.
Once firm, carefully release and remove the sides of the springform pan. For the easiest slicing, allow it to sit at room temperature for about 10 minutes before cutting and serving your delicious holiday treat!