Preheat the oven to 325°F (160°C).
Prepare the crust by mixing graham cracker crumbs and melted butter.
Press the crumb mixture evenly into the bottom of a 9-inch springform pan.
Bake the crust for 10 minutes and then cool.
In a large bowl, beat the softened cream cheese until smooth.
Gradually add sugar and beat until combined.
Add eggs one at a time, mixing on low speed to avoid air bubbles.
Stir in vanilla extract and sour cream until just combined.
Pour the cheesecake filling over the cooled crust.
Bake for 50-60 minutes, or until the center is set but still slightly jiggly.
Turn off the oven and let the cheesecake cool inside for 1 hour.
Refrigerate for at least 4 hours, preferably overnight, before serving.
Release the cheesecake from the springform pan and serve.