Creating a New York Style Cheesecake is easier than you might think if you follow these simple steps:

1. Preheat Oven: Preheat your oven to 325°F (160°C).
2. Prepare the Crust: In a mixing bowl, combine graham cracker crumbs, ½ cup sugar, and melted butter. Press the mixture firmly into the bottom of a 9-inch springform pan.
3. Bake the Crust: Place the crust in the preheated oven and bake for 10 minutes. Remove from the oven and let it cool slightly.
4. Beat the Cream Cheese: In a large mixing bowl, beat the softened cream cheese until smooth and creamy.
5. Add Sugar and Vanilla: Gradually add 1 cup of sugar and the vanilla extract, beating until well combined.
6. Incorporate Eggs: Add the eggs one at a time, mixing on low speed after each addition until just combined.
7. Mix in Sour Cream: Gently fold in the sour cream, flour, and lemon juice (if using) until smooth.
8. Pour the Filling: Pour the cream cheese mixture over the cooled crust in the springform pan.
9. Bake the Cheesecake: Bake in the oven for 1 hour, or until the center is set but still slightly jiggly. Turn off the oven and let the cheesecake cool in the oven with the door slightly ajar for about 1 hour.
10. Chill: Remove the cheesecake from the oven and allow it to cool to room temperature. Refrigerate for at least 4 hours, or overnight for the best texture.
11. Remove from Pan: Carefully run a knife around the edge of the cheesecake before releasing the springform pan.
12. Serve: Slice and serve the cheesecake plain or with your favorite toppings.