1.In a large mixing bowl, using an electric mixer on medium speed or a wooden spoon, beat together the cream cheese and sugar until light and creamy. This will take about 1 minute if using an electric mixer or 2 to 3 minutes if creaming by hand. Add the egg and instant coffee, and beat to incorporate.
2.Using a spoon, dollop the cheesecake batter on top of the brownie mix. Add a dollop of the reserved ¼ cup of the brownie batter in the center of each cheesecake dollop. Using a skewer or butter knife, swirl the batters together.
3.Bake for about 35 minutes, until the top is set.
4.Let the brownies cool to room temperature and then refrigerate for 1 to 2 hours to set.
To serve, cut into 9 bars. Serve the bars chilled or let them come to room temperature before serving.
Add more chocolate to create a rich, dense brownie. Do so by melting 4 ounces of semisweet baking chocolate with the butter or add 1/2 cup mini semi-sweet chocolate chips to batter.