Prepare the Oven and Pan - Preheat your oven to 325°F. Ensure your 9-inch springform pan is ready. This temperature is perfect for cheesecakes as it allows for even, gentle baking which helps prevent cracking and ensures a creamy texture throughout.
Create the Crust - In a medium bowl, thoroughly combine graham cracker crumbs and melted butter, mixing until every crumb is completely coated. This creates a cohesive mixture that will hold together well. Press this mixture firmly and evenly into the bottom of your springform pan to form a solid foundation for your cheesecake.
Make the Cheesecake Batter - In a large mixing bowl, beat the softened cream cheese and sugar together until the mixture becomes smooth and creamy with no lumps. Add the sour cream, eggs, and vanilla extract, and continue mixing until everything is perfectly incorporated. The sour cream adds tanginess and helps create that signature cheesecake texture.
Assemble the Base - Carefully pour your prepared cheesecake batter over the graham cracker crust in the springform pan. Use a spatula to spread the mixture evenly, ensuring there are no air pockets and the surface is level for an even bake.
Prepare the Peach Topping - In a separate bowl, gently toss the sliced peaches with brown sugar and cinnamon until evenly coated. This mixture creates the signature peach cobbler flavor that will infuse into the cheesecake as it bakes. Carefully arrange this peach mixture over the top of the cheesecake batter.
Bake the Cheesecake - Place the assembled cheesecake in your preheated oven and bake for 50 to 60 minutes. You'll know it's done when the center appears set but still has a slight wobble when gently shaken. Avoid overbaking as this can cause cracks and affect the creamy texture.
Cool and Chill - Allow the cheesecake to cool completely in the pan at room temperature. Once cooled, transfer to the refrigerator and let it chill for a minimum of 4 hours, preferably overnight. This chilling time is crucial as it allows the flavors to meld and the texture to set properly.