Crust: Mix crushed cookies with melted butter. Press into a 9-inch pan. Bake at 175°C (350°F) for 10 minutes.
Apples: Cook apples with butter, sugar, and cinnamon until tender. Set aside.
Filling: Beat cream cheese and sugar. Add eggs, sour cream, vanilla, and lemon juice. Pour over crust.
Topping: Mix flour, sugar, oats, cinnamon, and butter until crumbly. Sprinkle over apples and cheesecake.
Bake: Layer apples over the filling and top with crumble. Bake for 45-50 minutes. Let cool, then refrigerate.
