Preheat oven to 350 degrees F. Grease 9x13-inch baking dish.
In a medium bowl, beat together cream cheese, sugar, and vanilla extract until smooth.
Unroll one can of crescent roll dough and press into a greased 9X13 pan, pressing together the seams.
Spread cream cheese mixture into the pan.
Unroll 2nd can of crescent roll dough and form into a 9X13 rectangle (on waxed paper) then lay on top of cream cheese mixture in pan.
Drizzle melted butter over the top of the cheesecake. Stir the remaining 1/2 cup of sugar with the cinnamon then sprinkle over the cheesecake.
Bake in the preheated oven until crescent rolls have puffed and turned golden brown, about 45 minutes. Cool then cut into squares.