Preheat and Prepare the Pan: Preheat the oven to 350°F (175°C). Line all 12 cups of a muffin pan with paper liners so the individual cheesecakes are ready for the crust mixture.
Prepare the Crust Mixture: In a small bowl, combine the graham cracker crumbs, 2 tablespoons of sugar, and ¼ teaspoon of ground cinnamon. Pour in the melted butter and stir until the crumbs are evenly moistened.
Press the Crusts: Spoon 1 rounded tablespoon of the crumb mixture into each lined muffin cup. Use the bottom of a narrow glass or the back of a spoon to press the crumbs firmly into an even layer.
Mix the Cheesecake Filling: In a large bowl, beat the softened cream cheese and ½ cup of sugar until the mixture is smooth. Add the vanilla extract and beat until incorporated.
Add the Eggs: Pour in the lightly beaten eggs. Mix on low speed just until the eggs are blended into the cream cheese mixture. Avoid beating longer than necessary.
Fill the Muffin Cups: Divide the cheesecake filling evenly among the 12 prepared crusts, covering each crumb base with the cream cheese mixture.
Bake the Cheesecakes: Place the muffin pan in the preheated oven and bake for 15–18 minutes, or until the centers are set. Avoid overbaking to help preserve the creamy texture.
Cool the Cheesecakes: Remove the pan from the oven and place it on a wire rack. Allow the cheesecakes to cool in the pan for 30 minutes.
Chill Until Firm: Transfer the cooled cheesecakes to the refrigerator and chill them before serving. For the best flavor, prepare them a day ahead, as the cheesecakes are even better the next day.
Cook the Spiced Apples: When ready to serve, place the finely chopped apple in a small skillet with 1 tablespoon of butter, 1 tablespoon of sugar, ¼ teaspoon of cinnamon, and a dash of ground cloves. Cook over medium heat, stirring frequently, for 4–5 minutes, or until the apple pieces are tender. Add the Caramel Topping: Stir the caramel ice cream topping into the cooked apple mixture until combined.
Finish and Serve: Spoon the warm apple-caramel topping over the chilled cheesecakes just before serving, distributing it among all 12 portions.