Line an 8x8 baking pan with parchment paper, tin foil, or grease with butter.
In a small bowl, mix the crushed Nutter Butter cookies with the melted butter. Press this mixture into the bottom of the prepared baking pan. Set aside.
In a medium size bowl, mix together the brownie mix, softened cream cheese and melted butter. You may have to use your hands to mix and get all of the brownie powder combined. Spoon the brownie batter onto the Nutter Butter crust in small clumps. Press the brownie batter down to form a layer over the crust.
For the peanut butter layer, cream together the butter and peanut butter using a stand mixer or a hand-held mixer. Add the powdered sugar and vanilla. Mix until well combined and creamy. Press the peanut butter mixture on top of the brownie batter layer.
In a microwave safe bowl, melt the chocolate chips and coconut oil (or shortening) in 20 second intervals, mixing in between times, until the chocolate is melted and smooth. Pour the chocolate on top of the peanut butter layer and use a rubber spatula to smooth the chocolate. Allow the chocolate to set for 10 minutes in the refrigerator. Cut the bars before the chocolate sets completely in order to get clean cuts. Hold a sharp knife under running hot water, then cut through the chocolate if it is too hard to cut. It will help get a cleaner cut line.