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Preheat oven to 350 degrees.
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Line the bottom of an 8x8 square baking pan with parchment paper or foil. Spray edges of pan with non-stick cooking spray.
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In a large bowl, whisk together sugar, melted butter, and oil.
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Add eggs and vanilla, whisk until smooth.
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Add cocoa powder, flour, baking powder, and salt; whisk until smooth.
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Stir in chocolate chips.
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Pour brownie batter into prepared pan and spread into an even layer.
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To make the cheesecake filling, whisk together the cream cheese, egg, and sugar until smooth.
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Add dollops of cream cheese mixture and peanut butter over the brownie batter. Swirl with the tip of a knife or with a toothpick.
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Bake brownies 27-30 minutes, or until a toothpick is inserted and comes out with only a few moist crumbs.
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Cool completely, then slice into 9 large bars or 12 mini bars.