Preheat oven to 350 degrees F.
In your food processor combine and pulse flour, brown sugar and cut up cold butter until a crumb type mixture forms. Press into a 13x9 inch pan that has been lined with either parchment paper or foil and sprayed lightly with non-stick cooking spray. Bake for 15 minutes and remove from oven.
In the bowl of an electric mixer beat cream cheese until light and fluffy. Add in 1/2 cup sugar and vanilla and beat until smooth. Add eggs, one at a time, and mix until just combined. Spread mixture over crust ( careful, remember your crust pan is hot from baking!).
In a bowl combine chopped apples, cinnamon, nutmeg and remaining 2 TBSP of sugar. Stir to combine. Sprinkle apple mixture over cream cheese mixture.
Once again in your food processor, combine flour, brown sugar, oats and remaining cold cubed butter, pulsing food processor until mixture starts to form crumbs. Sprinkle this topping over the apples.
Bake for 25-30 minutes or until filling is set. Remove from oven. Once cooled to room temperature, transfer to refrigerator. Store in refrigerator. When serving top with a drizzle of caramel sauce if desired.