Preheat the oven to 350°F (175°C). Lightly grease a 9x13 inch baking dish.
Unroll one can of crescent roll dough and press it into the bottom of the dish, pinching seams to seal.
In a medium bowl, mix the softened cream cheese, 1 cup sugar, and vanilla extract until smooth and creamy.
Spread the cream cheese mixture evenly over the bottom dough layer.
Unroll the second can of crescent dough and lay it over the cream cheese filling. Pinch seams to seal.
Pour melted butter evenly over the top.
In a small bowl, mix the remaining 1/2 cup sugar with cinnamon, then sprinkle the mixture over the buttered top layer.
Bake for 30 minutes, or until the top is golden brown and crisp.
Let cool slightly before serving warm, or chill completely before slicing for neat bars.