Creamy cheesecake with a graham cracker crust.
Preheat the oven to 350°F (175°C). In a mixing bowl, combine graham cracker crumbs, 1/4 cup sugar, and melted butter. Mix until the crumbs are well coated. Press the mixture firmly into the bottom of a 9-inch springform pan. Bake for 10 minutes, then remove from oven and let cool.
In a large bowl, beat the softened cream cheese with an electric mixer until smooth. Gradually add the remaining 1/4 cup sugar and mix until well incorporated. Add sour cream, vanilla extract, lemon juice, and mix until smooth. Add eggs one at a time, mixing on low speed until just blended.
Pour the cream cheese mixture over the cooled crust in the springform pan. Smooth the top with a spatula. Bake in the preheated oven for 50-60 minutes, or until the center is set and slightly jiggly. Turn off the oven, crack the door open, and let the cheesecake cool in the oven for 1 hour.
Remove the cheesecake from the oven and let it cool to room temperature. Cover and refrigerate for at least 4 hours or overnight. Once chilled, remove the sides of the springform pan, slice, and serve.