1️⃣ Preheat your oven to 325°F. Grease a 9-inch springform pan and line the bottom with parchment paper.
2️⃣ In a bowl, mix graham crumbs, sugar, and melted butter. Press firmly into the bottom of the pan. Bake for 8–10 minutes, then cool slightly.
3️⃣ In a skillet over medium heat, cook apples with butter, brown sugar, cinnamon, and nutmeg until just tender (5–7 minutes). Set aside to cool.
4️⃣ Beat cream cheese and sugar on medium speed until smooth. Add eggs one at a time, mixing after each. Blend in vanilla and sour cream until just combined.
5️⃣ Pour half the filling over the crust. Spoon half the apple mixture over the filling, then add the remaining cheesecake filling on top and smooth it out. Sprinkle remaining apples on top.
6️⃣ Bake for 50–60 minutes, until center is almost set but still slightly jiggly. Turn off oven, crack door, and let cheesecake cool inside for 1 hour.
7️⃣ Chill at least 4 hours (or overnight). Before serving, drizzle generously with caramel sauce.