Preheat your oven to 350°F and line a 9×13-inch baking pan with parchment paper, leaving a slight overhang on the sides to use as handles later.
In a large mixing bowl, combine the slightly cooled melted butter and 2 ½ cups of granulated sugar. Use an electric mixer to beat them together for 2 full minutes until the mixture looks pale and slightly fluffy. Pro Tip: Creaming melted butter and sugar forces the sharp sugar crystals to cut microscopic air pockets into the cooling lipids. This mechanical step guarantees your thick brownie layer expands uniformly into a rich, fudgy texture without requiring chemical leaveners like baking powder, which would make the base too cakey.
Add the 1 tablespoon of vanilla extract and the 4 room-temperature eggs to the butter mixture. Beat at medium-high speed until the liquid is entirely smooth and glossy.
In a separate bowl, whisk together the all-purpose flour, cocoa powder, and ½ teaspoon of salt. Dump the dry powders into the wet base and stir with a spoon just until the white streaks disappear into a thick batter. Spread exactly half of this brownie batter into a level layer across the bottom of your lined pan.
In a separate clean bowl, use the electric mixer to beat the room-temperature cream cheese, 1 egg, 1 teaspoon of vanilla, and ⅓ cup of sugar together until it turns into a light, completely lump-free silk. Gently spread this cheesecake filling directly over the bottom brownie layer.
Spoon the cherry pie filling randomly across the cheesecake layer. Take a butter knife or small spatula and drag the tip lightly through the cherries and cream cheese to create a beautiful, marbled swirl pattern.
Drop remaining spoonfuls of the dark brownie batter over the swirled cherry surface, smoothing it gently to cover as much of the fruit as possible.
Bake for 30 to 35 minutes until the perimeter edges look firm and slightly dry. The Jiggle Test: The very center of the pan should still have a slight, rhythmic jiggle when shaken—do not over-bake trying to make the center solid, or the cheesecake layer will curdle and dry out.
The Thermal-Gel Set: Lift the pan onto a cooling rack and let it drop completely to room temperature. Once cool, cover the pan tightly and transfer it to the refrigerator for a minimum of 4 hours before lifting the parchment handles out to slice. Crucial: When warm, baked cream cheese and fruit starches are completely loose. A long, cold rest allows the dairy fats and fruit pectins to lock back into a dense, solid matrix, ensuring every knife slice yields a perfectly clean, sharp cross-section.