Grease a 9 x 13 inch pan. Mix the cereal and peanuts in a large bowl.
In a medium saucepan stir together the brown sugar and corn syrup over medium heat. Bring the mixture to a boil for about 1 minute. Then remove from heat and stir in the peanut butter, vanilla, and salt. Stir until the mixture is smooth.
Pour the peanut butter mixture over the cereal mixture. Toss carefully with a wooden spoon until all of the cereal is covered.
Transfer the mixture into the prepared 9 x 13 inch pan and press down gently. Cool for about 20 minutes.
Melt the chocolate chips in the microwave stirring every 20 seconds until completely melted and smooth. Drizzle over the cooled bars. Let the chocolate cool.