Preheat oven to 400°F. Line a pie pan with the bottom pie crust.
With mixer on high, combine cream cheese, 1/2 cup sugar and vanilla until fluffy. Add in eggs and mix until combined. Pour cream cheese mixture into the pie crust.
In large bowl, combine apples, lemon juice, 1/2 cup sugar, flour and cinnamon. Gently place apples on top of cream cheese mixture.
Top apples with second pie crust turning the crust inwards to bake. Cut a few small slits into the top of the pie.
Line a pan with parchment paper and place the pie on the pan. Cover loosely with a piece of foil and bake 30 minutes. Remove foil and bake an additional 30 minutes or until the apples feel soft when a knife is inserted. Remove from the oven and cool 10 minutes.
Place a large plate over the top of the pie and flip it upside down releasing the pie onto the plate. Cool 1 hour on the countertop and then refrigerate 4 hours or overnight. Serve cold with caramel sauce.