Preheat the oven to 350°F (175°C).
Prepare the crust by mixing graham cracker crumbs and melted butter until well combined.
Press the mixture firmly into the bottom of a springform pan to form the crust.
In a large bowl, beat the cream cheese with sugar and vanilla until smooth.
Add eggs one at a time, beating well after each addition.
Fold in diced apples, caramel sauce, cinnamon, and nutmeg until just combined.
Pour the cream cheese mixture over the prepared crust in the springform pan.
Bake in the preheated oven for 50-60 minutes or until the center is set.
Turn off the oven, crack the door, and let the cheesecake cool in the oven for 1 hour.
Refrigerate the cheesecake for at least 4 hours before serving.
Drizzle with additional caramel sauce before serving.