Preheat oven to 325°F (163°C). Grease a 9-inch springform pan.
In a bowl, mix graham cracker crumbs, sugar, and melted butter. Press firmly into the bottom of the pan. Bake crust for 10 minutes, then set aside to cool.
In a large mixing bowl, beat the cream cheese until smooth. Add sugar and beat again until combined.
Mix in sour cream and vanilla until smooth. Add eggs one at a time, mixing gently after each.
Pour the filling over the crust. Smooth the top with a spatula.
Bake for about 65-75 minutes, or until the edges are set and the center slightly jiggles.
Turn off oven, crack the door, and let cheesecake rest for 1 hour. Then refrigerate for at least 4 hours or overnight.
Before serving, run a knife around the edge and remove the springform ring. Serve plain or with your favorite topping.