Crush the entire package of Oreo cookies until they resemble fine crumbs using a food processor or a zip-top bag and rolling pin.
Pour the crumbs into a mixing bowl and stir in the melted butter until the mixture looks like wet sand.
Press the crust mixture evenly into the bottom of a 9-inch springform pan, making sure it’s compact and smooth.
Pop the crust into the fridge to chill while you prepare the filling.
In a large bowl, beat the softened cream cheese until smooth and creamy using a hand or stand mixer.
Gradually add the powdered sugar and vanilla extract, beating until fully incorporated and silky.
Add the peppermint extract and mix well to evenly distribute the flavor.
In a separate chilled bowl, whip the heavy cream until stiff peaks form.
Gently fold about one-third of the whipped cream into the cream cheese mixture to lighten it.
Carefully fold in the remaining whipped cream until the filling is smooth and airy without deflating.
Pour the filling over the chilled Oreo crust and smooth the top with a spatula.
Sprinkle the crushed peppermint candies evenly over the surface for garnish.
Cover the cheesecake with plastic wrap and refrigerate for at least 4 hours or overnight to set.