01 - Preheat oven to 325°F. Combine graham cracker crumbs, 1/4 cup sugar, and melted butter in a mixing bowl. Mix until evenly moistened. Press mixture firmly into the base of a 9-inch springform pan.
02 - Bake crust for 10 minutes. Allow pan to cool completely on a wire rack.
03 - In a large bowl, beat softened cream cheese with 1 cup sugar until smooth and creamy. Add eggs, one at a time, beating briefly after each addition. Blend in vanilla extract just until incorporated.
04 - Pour the cream cheese mixture over the cooled crust. Smooth the surface with a spatula. Bake at 325°F for 55 to 60 minutes, until center is almost set but slightly wobbly.
05 - Remove cheesecake from oven and let cool at room temperature for 1 hour. Refrigerate for at least 4 hours or overnight for best results.
06 - Mix sour cream, 2 tablespoons sugar, and 1/2 teaspoon vanilla extract. Spread evenly over the top of the chilled cheesecake before serving.