Preheat oven to 350 degrees Fahrenheit.

In a large bowl, combine quick-cooking oats, flour, brown sugar, and ground cinnamon for the topping.

Cut chilled butter into the dry topping ingredients until the mixture is crumbly.

Press half of the crumb mixture into the bottom of a 13x9 inch dish and reserve the rest for the topping.

In another large bowl, toss the peeled and chopped apples with sugar, flour, and cinnamon until evenly coated.

Spread the apple mixture over the pressed crumb crust in the dish.

In a separate bowl, cream together softened cream cheese and sugar until smooth.

Add eggs, flour, and milk to the cream cheese mixture.

Beat until well combined.

Spread the cream cheese mixture evenly over the apple layer in the dish.

Sprinkle the reserved crumb mixture evenly over the cream cheese layer.

Bake for 40-45 minutes, or until the top is golden brown and the apples are tender.

Cool completely on a wire rack before serving.