Prepare the Crust: In a medium bowl, mix the graham cracker crumbs, melted butter, and 1/4 cup granulated sugar until well combined. Press the mixture firmly into the bottom of a 9-inch springform pan to form an even crust. Bake in a preheated oven at 350°F (175°C) for 10 minutes. Remove and allow to cool while preparing the filling.
Make the Filling: In a large mixing bowl, beat the softened cream cheese with an electric mixer on medium speed until smooth and creamy, about 2-3 minutes. Gradually add in 1 cup granulated sugar, scraping down the sides of the bowl as necessary, and mix until fully combined.
Add Flavorings: Add the vanilla extract, scraped seeds from the vanilla bean, sour cream, lemon zest, and salt. Mix until fluffy and well combined.
Incorporate the Eggs: Reduce the mixer speed to low. Add the eggs, one at a time, mixing until just combined. Avoid over-mixing to prevent air bubbles which can cause cracks in the cheesecake.
Bake the Cheesecake: Pour the cream cheese filling over the cooled crust, smoothing the top with a spatula. Bake in the oven at 325°F (160°C) for 55-60 minutes, or until the edges are set but the center still has a slight jiggle.
Cool and Chill: Turn off the oven and leave the cheesecake inside for an additional hour to cool gradually. This helps prevent cracks. After cooling, remove the cheesecake from the oven and refrigerate for at least 4 hours, or overnight for the best flavor.
Serve: Once chilled, carefully run a knife around the edges of the cheesecake to loosen it from the springform pan, then release the sides. Slice and serve plain or with your favorite fruit topping or whipped cream.
Notes
For best flavor, refrigerate overnight before serving.