Begin by preheating your oven to 325°F (163°C). Prepare a 9-inch springform pan by greasing it lightly with butter or cooking spray, then set it aside.
In a medium mixing bowl, combine the chocolate cookie crumbs with the melted butter. Stir thoroughly until all crumbs are evenly coated in butter.
Press the crumb mixture firmly into the bottom of the prepared springform pan to create a uniform crust layer. Place the pan in the oven and bake for 10 minutes. Once baked, remove from the oven and allow it to cool completely.
Meanwhile, in a large mixing bowl, use an electric mixer to beat the softened cream cheese until it is smooth and creamy with no lumps.
Gradually add in the granulated sugar, mixing on medium speed until fully combined and smooth.
Incorporate the vanilla extract and peppermint extract into the mixture, tasting as you go to tailor the mint flavor to your preference.
Add one egg at a time to the mixture, beating on low speed just until blended after each addition. Avoid overmixing to keep the cheesecake light and fluffy.
Gently fold in the sour cream using a spatula until completely smooth. If desired, add a few drops of green food coloring, mixing gently until you achieve your preferred shade of mint green.
Lightly fold in the semi-sweet chocolate chips until they are evenly distributed throughout the batter.
Carefully pour the cream cheese mixture over the cooled crust in the springform pan. Spread it evenly across the top with a spatula.
Bake the cheesecake in the preheated oven for 55 to 65 minutes. The edges should be set but the center should still have a slight jiggle. Once done, turn off the oven and crack the door open, allowing the cheesecake to cool in the residual heat for about 1 hour.
After cooling, transfer the cheesecake to the refrigerator and allow it to chill for at least 4 hours (or overnight) to ensure it sets properly.
Before serving, garnish the top with fresh mint leaves for an elegant touch.