Preheat oven to 250°.
In a large bowl, combine cheddar bunnies, bagel chips, pretzel snaps, rice cereal, and peanuts. Set aside.
In a medium saucepan, melt butter over medium heat. Add Worcestershire, soy sauce, Dijon mustard, sugar, garlic powder, onion powder, and salt. Bring to a boil. Pour butter mixture over bunny mixture; stir until well coated. Divide snack mix between two large rimmed baking sheets.
Bake until snack mix is dry, approximately 1 hour, stirring every 15 minutes. Let cool completely before serving.