Preheat the oven to 325 degrees. Spray a 9x13 baking dish with non-stick cooking spray.
In a small bowl, mix together the graham cracker crumbs and melted butter. Press into the bottom of the prepared baking dish and bake for 5 minutes.
Remove from the oven and set aside.
In the bowl of a stand mixer, beat together the cream cheese, sugar, sour cream, eggs, and vanilla until well combined. Pour half of the batter into the prepared crust.
Add the pumpkin and pumpkin pie spice to the remaining batter and stir well to combine.
Gently pour the pumpkin mixture evenly over the cheesecake layer in the pan, taking care to pour it evenly over the entire pan. Gently spread the batter over to the edges with a rubber spatula, as needed.
Bake for 40 minutes at 325 degrees or until the center is just slightly jiggly. Turn the oven off and crack the door. Let the cheesecake sit in the warm oven for 45 minutes.
Remove to the counter to cool completely before transferring to the refrigerator. Serve cold.