Creating a classic New York cheesecake involves precision and patience. Follow these detailed steps to achieve cheesecake perfection.

Step 1: Prepare the Oven and Pan

1. Preheat oven to 325°F (160°C).
2. Combine graham cracker crumbs and melted butter in a bowl. Mix until the crumbs are well-coated with butter.
3. Press the crumb mixture firmly into the bottom of a 9-inch springform pan, ensuring an even layer to form the crust.

Step 2: Make the Cheesecake Filling

4. In a large bowl, beat the softened cream cheese until smooth and creamy.
5. Gradually add the sugar and vanilla extract to the cream cheese, mixing well after each addition to ensure a smooth consistency.
6. Add the eggs one at a time, blending thoroughly after each addition.
7. Mix in the sour cream and lemon zest until fully combined, ensuring the mixture is smooth and lump-free.

Step 3: Assemble and Bake

8. Pour the cream cheese mixture over the prepared crust in the springform pan, smoothing the top with a spatula.
9. Place the cheesecake in the preheated oven and bake for 60-70 minutes, or until the edges are set and the center has a slight jiggle.
10. Turn off the oven and let the cheesecake cool inside with the door slightly open for an hour. This gradual cooling helps prevent cracking.

Step 4: Chill and Serve

11. Once cooled, transfer the cheesecake to the refrigerator to chill for at least 4 hours, or overnight for best results.
12. Before serving, run a knife around the edge of the pan to loosen the cheesecake. Carefully remove the sides of the springform pan and slice the cheesecake with a sharp knife, wiping the blade clean between each cut.