Preheat oven to 350°F (175°C) and grease a 9x13-inch baking dish.
Unroll one can of crescent dough and press into the bottom of the dish, sealing seams.
Beat cream cheese, 3/4 cup sugar, and vanilla until smooth and creamy.
Spread cheesecake mixture evenly over dough layer.
Unroll second can of crescent dough and place on top, sealing seams gently.
Brush melted butter over the top layer.
Mix remaining sugar with cinnamon and sprinkle evenly over buttered dough.
Bake 28–32 minutes until golden brown and set.
Cool completely before slicing into squares and dust with powdered sugar if desired.