Prepare your pan by lining a 9x9 inch baking pan with parchment paper, leaving some overhang on the sides to act as handles for easy removal later.
In a medium saucepan, combine the peanut butter, raw sugar, brown sugar, and honey. Melt over low heat, stirring continuously until the mixture is smooth and the sugar has dissolved. Be careful not to let it boil.
Remove the saucepan from the heat. Gradually pour in the crisp rice cereal and stir gently with a spatula until the cereal is evenly coated in the peanut butter mixture.
Transfer the mixture to your prepared baking pan.
Using the back of the spatula or a piece of parchment paper, press the mixture down firmly and evenly into the pan.
To make the topping, create a double boiler.
Place the butter and chocolate chips in a heatproof bowl set over a saucepan of simmering water (ensure the bottom of the bowl doesn't touch the water).
Stir constantly until the chocolate and butter are completely melted and smooth.
Pour the melted chocolate over the pressed cereal base and spread it into an even layer with a spatula.
Let the pan cool at room temperature for at least 1-2 hours, or place it in the refrigerator for 30-45 minutes to speed up the process, until the chocolate is firm.
Once set, lift the bars out of the pan using the parchment paper handles.
Place on a cutting board and slice into 20 squares.
Serve and enjoy!