Preheat your oven to 325°F (160°C) to ensure even baking.
In a medium mixing bowl, combine the graham cracker crumbs with the melted unsalted butter. Stir until well mixed and the crumbs are fully coated. Firmly press this mixture into the bottom of a 9-inch springform pan to create an even layer. Bake the crust in the preheated oven for 10 minutes, then remove and allow it to cool completely.
In a small saucepan, combine the cranberries, ½ cup granulated sugar, and orange zest. Cook over medium heat while stirring occasionally until the cranberries start to burst and the mixture thickens, approximately 10-15 minutes. Once thickened, remove the saucepan from the heat and let the cranberry sauce cool before using.
In a large mixing bowl, use a hand mixer to beat the softened cream cheese on medium speed until it reaches a smooth and creamy consistency. Gradually add in 1 cup of granulated sugar and the pure vanilla extract, mixing until everything is well combined.
Add the eggs into the cream cheese mixture one at a time. Ensure each egg is thoroughly mixed in before adding the next. Scrape down the sides of the bowl as necessary to make sure everything is evenly blended.
Gently fold in the sour cream until the filling is completely smooth, being cautious not to overmix.
Gently fold in half of the prepared cranberry sauce into the cheesecake batter, stirring until just combined. Set the remaining cranberry sauce aside for topping later.
Carefully pour the cheesecake batter over the cooled graham cracker crust, using a spatula to smooth the surface. Bake in the preheated oven for 55-60 minutes, or until the center is set but still slightly jiggly when gently shaken.
Once baked, turn off the oven and crack the door ajar, allowing the cheesecake to cool in the oven for about an hour. After cooling, transfer the cheesecake to the refrigerator and let it chill for at least 4 hours, but for the best flavor, allow it to set overnight.
Before serving, top each slice of chilled cheesecake with the reserved cranberry sauce for a delightful finish.
Notes
For an elegant touch, serve each slice of cheesecake on a dessert plate garnished with a few fresh cranberries and a light dusting of powdered sugar. Consider adding a sprig of mint for color and freshness!