Preheat your oven to 375°F (190°C) and line a baking sheet with parchment paper to prevent sticking.
In a mixing bowl, combine the softened cream cheese, sugar, vanilla extract, and flour. Whisk until smooth and creamy, with no lumps, and set aside. This will be your cheesecake filling.
Roll out the crescent dough sheets on a lightly floured surface to smooth out the seams and create an even surface. Pinch the perforations to seal any gaps.
Spread the cheesecake filling evenly over the rolled-out dough, leaving about 1 inch around the edges for shaping.
Carefully roll the dough from one long side into a tight rope, then shape it into a circle, pressing the ends together to seal and form a wreath shape.
Transfer the shaped wreath to the prepared baking sheet. In a small bowl, mix the sugar and cinnamon to make the cinnamon sugar topping.
Brush the top of the wreath with melted butter, then sprinkle generously with the cinnamon sugar mixture for a crispy, cinnamon-sugar crust.
Bake in the preheated oven for about 20 minutes, or until the edges are golden brown and the filling is bubbling.
Once baked, remove from the oven and let it cool for a few minutes so the filling firms up slightly and the aroma fills the room.
Slice into wedges or serve whole, enjoying the crispy edges and gooey cheesecake center with a cinnamon-sugar crunch on top.