Crust: Preheat oven to 350°F (175°C). Mix crust ingredients, press firmly into springform pan, and bake 10 minutes. Let cool.
Filling: Beat cream cheese until smooth. Add sugar and vanilla. Mix in eggs one at a time, then fold in sour cream and cinnamon. Pour onto crust.
Apples & Crumble: Cook apples with sugar, cinnamon, and lemon juice until slightly softened. Spread over filling. Mix crumble ingredients until coarse crumbs form and sprinkle evenly on top.
Bake & Cool: Lower oven to 325°F (160°C). Bake 60 to 70 minutes until edges are set but the center jiggles slightly. Cool in the oven with the door cracked for 1 hour. Refrigerate for 6 hours or overnight before serving.