Creating Peppermint Chocolate Cheesecake can be simple and fun if you follow these steps:

1. Preheat Oven: Preheat your oven to 325°F (160°C).
2. Prepare the Crust: In a medium bowl, combine chocolate cookie crumbs and melted butter. Mix until moistened. Press mixture into the bottom of a 9-inch springform pan to form an even crust.
3. Mix Cream Cheese: In a large mixing bowl, beat softened cream cheese until smooth using an electric mixer. Gradually add in the granulated sugar and mix until blended.
4. Add Eggs: Mix in the eggs one at a time, ensuring each is fully incorporated before adding the next.
5. Combine Ingredients: Stir in the sour cream, vanilla extract, and peppermint extract until smooth. Finally, fold in the melted chocolate until well combined.
6. Pour Batter: Carefully pour the cheesecake batter over the prepared crust in the springform pan.
7. Bake: Bake in the preheated oven for about 45 minutes, or until the center is set and slightly jiggly.
8. Cool and Chill: Allow the cheesecake to cool at room temperature for about 30 minutes. Then refrigerate for at least 1 hour, or overnight for best results.
9. Prepare Toppings: Before serving, whip together heavy cream until soft peaks form. Spread or pipe onto the chilled cheesecake.
10. Garnish: Sprinkle crushed peppermint candies and chocolate shavings over the top for a festive finish.

By following these steps, you will create an amazing Peppermint Chocolate Cheesecake that will impress everyone.