Start by lining a 9x9-inch baking pan with parchment paper, leaving some overhang on the sides.
In a microwave-safe bowl, combine the semi-sweet chocolate chips and unsalted butter. Heat in the microwave in 30-second intervals, stirring in between, until completely melted and smooth.
Once the chocolate and butter mixture is melted, stir in the creamy peanut butter and honey. Mix until well combined and creamy.
In a large mixing bowl, add the cornflakes. Pour the chocolate-peanut butter mixture over the cornflakes and gently fold them together until all the cornflakes are coated evenly.
Transfer the mixture into the prepared baking pan. Use the spatula to press it down firmly and evenly.
Place the pan in the refrigerator and let it chill for at least 2 hours, or until the bars are firm to the touch.
Once set, lift the bars out of the pan using the parchment paper overhang. Cut them into squares or rectangles.