Preheat oven to 350°F (180°C). Wrap a springform pan with foil and grease it.
Mix graham crumbs, brown sugar, cinnamon, and melted butter. Press into pan and bake for 8–10 minutes.
Slice apples thinly and toss with brown sugar and cinnamon. Chill.
Combine flour, brown sugar, cinnamon, oats, and butter to form crumble topping.
Beat cream cheese and sugars until smooth. Mix in cornstarch, cinnamon, sour cream, and vanilla. Add eggs one at a time.
Pour filling over crust. Add apples evenly, then sprinkle crumble on top.
Place pan in a water bath and bake for 50–60 minutes until slightly jiggly in center.
Cool to room temperature, then refrigerate at least 6 hours or overnight before serving this Apple Crisp Cheesecake.