Prepare the Crust: Preheat oven to 325°F (163°C). Grease a 9-inch springform pan and line the bottom with parchment paper. Mix crushed cookies and melted butter, then press firmly into the pan’s base. Bake for 10 minutes, then cool.
Make the Filling: Beat cream cheese, sugar, and cornstarch until smooth (about 2 minutes). Add eggs one at a time, mixing gently. In a small bowl, whisk heavy cream, sour cream, espresso powder, and vanilla until smooth. Gradually blend this into the cream cheese mixture.
Bake the Cheesecake: Pour batter over the cooled crust. For a crack-free result, wrap the springform pan in foil, place in a larger dish, and add 1 inch of hot water (water bath). Bake for 50–55 minutes until edges are set but the center jiggles slightly. Turn off the oven, crack the door, and let the cheesecake cool inside for 1 hour.
Chill: Cool at room temperature for 30 minutes, then refrigerate for at least 6 hours (overnight is best).
Add Whipped Cream (Optional): Whip heavy cream, powdered sugar, and espresso powder to stiff peaks. Pipe or spread over the chilled cheesecake.
Garnish & Serve: Sprinkle with chocolate shavings, dust with cocoa, or add coffee beans. Slice with a hot knife for clean cuts and serve with a hot espresso for the ultimate Coffee Pastries experience.