Preheat oven to 325°F and spray a 9-inch springform pan with non-stick spray.
In a medium bowl, combine brownie mix, vegetable oil, water, and egg; stir about 50 times until just combined with slight lumps.
Spread the batter evenly into the prepared pan and bake for 25 minutes or until a toothpick inserted in the center comes out clean.
While the brownie bakes, prepare the peanut butter cheesecake by mixing cream cheese, sugar, peanut butter, and vanilla extract in a large bowl until smooth and creamy.
Add eggs one at a time to the cheesecake mixture, mixing on low speed after each addition until just blended; refrigerate until brownie is done.
When the brownie is baked, increase oven temperature to 350°F and pour the cheesecake mixture over the brownie base, spreading evenly.
Bake for 45-50 minutes or until the center is almost set; check at 35 minutes and look for a slight jiggle in the center.
Cool cheesecake on the counter for 10 minutes, then refrigerate for at least 3 hours before serving.
For the chocolate drizzle, microwave chocolate chips and peanut butter in a microwave-safe bowl for 30 seconds, stir, then microwave another 20 seconds or until smooth and combined.
Transfer the chocolate mixture to a plastic bag, cut a small tip, and drizzle evenly over the chilled cheesecake.
Slice and serve chilled.