Preheat your oven to 350°F (175°C). Generously grease a 24-cup mini muffin tin with non-stick cooking spray or line with mini cupcake liners to ensure easy removal of the brownies.
In a large mixing bowl, combine the brownie mix, vegetable oil, water, and eggs. Stir by hand until the ingredients are well combined, but be careful not to overmix, as this can make the brownies tough.
Spoon the batter into the prepared mini muffin tin, filling each cup about 3/4 full. Bake for 18 to 20 minutes, or until a toothpick inserted into the center comes out with just a few moist crumbs. Remove from the oven and let them cool in the pan for 10 minutes before transferring to a wire rack to cool completely.
Place the white candy melts or white chocolate chips in a microwave-safe bowl. Heat in 30-second intervals, stirring in between, until the chocolate is completely smooth. Transfer the melted chocolate into a piping bag or a small plastic bag with the corner snipped off.
Once the brownies are completely cool, drizzle the white chocolate back and forth across the top of each brownie bite in a zigzag pattern to resemble mummy bandages. Leave a small gap near the top for the eyes.
Before the white chocolate sets, carefully place two candy eyes into the gap you left on each brownie. Press them down slightly so they stick. Allow the chocolate to harden completely before serving.