Preheat oven to 325°F (163°C).
Mix crust ingredients, press into a 9-inch springform pan, and bake for 10 minutes.
Make cheesecake filling: Beat cream cheese until smooth, then mix in sugars, vanilla, eggs, sour cream, flour, and cinnamon.
Prepare apples: Toss apples with brown sugar, cinnamon, and lemon juice.
Assemble: Pour cheesecake batter over crust, top with apples.
Make crumble: Mix flour, oats, sugar, cinnamon, and melted butter; sprinkle over apples.
Bake for 45-50 minutes until set. Cool completely before serving.
Enjoy with caramel sauce or whipped cream!
