Preheat your oven to 325°F (160°C). Grease the springform pan and set it aside.
In a mixing bowl, combine the graham cracker crumbs, sugar, and melted butter. Stir until well combined. Press this mixture firmly into the bottom of the prepared springform pan to form a crust.
In another mixing bowl, beat the cream cheese with an electric mixer until smooth. Gradually add the sugar and mix until well combined.
Add the eggs, one at a time, mixing well after each addition.
Stir in the sour cream, vanilla extract, apple cider, cinnamon, nutmeg, and salt. Mix until smooth and well combined.
Pour the filling over the prepared crust in the springform pan.
Bake in the preheated oven for 60 minutes, or until the center is set and the edges are lightly browned.
Turn off the oven and leave the cheesecake inside for an additional hour to cool gradually.
Remove the cheesecake from the oven and allow it to cool to room temperature.
Refrigerate for at least 4 hours, or overnight if possible.
Before serving, top with whipped cream, apple slices, and a drizzle of caramel sauce, if desired.