Preheat oven to 350 degrees F.
In a medium bowl, combine flour and brown sugar. Cut in butter with a fork until mixture is crumbly. Press evenly into a 13 by 9 by 2-inch baking pan lined with heavy-duty aluminum foil. Bake 15 minutes or until lightly browned.
In a stand mixer, beat cream cheese with 1/2 cup sugar until smooth. Then add eggs, 1 at a time, and vanilla. Stir to combine. Pour over warm crust.
In a small bowl, stir together chopped apples, remaining 2 tablespoons sugar, cinnamon, and nutmeg. Spoon evenly over cream cheese mixture. Sprinkle evenly with Streusel Topping. Bake 30 minutes, or until filling is set. Drizzle with caramel sauce.