Preheat your oven to 350 degrees Fahrenheit. Line a 9-inch square baking pan with aluminum foil, allowing the foil to hang over all edges by about 2 inches. Spray the foil generously with cooking spray.
In a large mixing bowl, cream together the softened butter, brown sugar, and granulated sugar using an electric mixer on medium speed. Beat for about 3 minutes until the mixture is light in color and fluffy in texture.
Add the egg and vanilla extract to the butter mixture. Beat on medium speed until fully incorporated and smooth.
Add the flour, baking powder, and salt to the bowl. Stir with a wooden spoon or spatula until just combined, being careful not to overmix. Fold in the graham cracker crumbs until evenly distributed throughout the dough.
Take approximately two-thirds of the dough and press it firmly and evenly into the bottom of your prepared pan. Use your fingers or the bottom of a measuring cup to compact the dough, making sure it reaches all corners and edges.
Unwrap the Reese's peanut butter cups and arrange them evenly over the dough base. Space them so each bar will contain peanut butter cup when cut.
Sprinkle the chocolate chips evenly over the peanut butter cups, allowing them to fall naturally into the spaces between the cups.
Open the marshmallow creme container. Using a spatula lightly sprayed with cooking spray, carefully spread the entire container of marshmallow creme over the chocolate chip layer. Work gently to avoid disturbing the layers below.
Break the remaining dough into small pieces and scatter them over the marshmallow layer, creating a crumble topping. The pieces don't need to cover every spot completely.
Bake in the preheated oven for 25 minutes, or until the top turns golden brown. The edges may be slightly darker.
Remove from the oven and allow the bars to cool in the pan for at least 1 hour at room temperature.
After the initial cooling, use the foil overhang to lift the entire block of bars out of the pan. Place on a wire cooling rack and let cool completely for another 1-2 hours, or refrigerate for faster setting.
Once completely set, use a sharp knife dipped in hot water to cut into 16 squares. Wipe the knife clean between cuts for the neatest slices.