Preheat oven to 350º F and lightly grease a 9x13-inch baking dish with butter or non-stick spray.
Unroll one can crescent roll dough and place in greased baking dish.
Carefully pinch seams together to seal and press dough into edges of dish.
In a large bowl or mixer, beat cream cheese for 1-2 minutes or until fluffy, then add in ½ cup sugar, all of lemon juice and ¾ lemon zest, and vanilla extract, mixing until smooth.
Pour mixture over bottom crust in baking dish, then unroll remaining crescent roll dough and place it gently over lemon cream cheese filling, pinching seams again and stretching to the edges of baking dish.
In a small bowl, whisk together melted butter with 3 tablespoons sugar and remaining lemon zest.
Brush melted butter over dough until coated.
Place baking dish in oven and bake for 25-30 minutes, or until top is golden brown and cooked through. Remove from oven and let cool at least 20 minutes before slicing and serving.