Begin by breaking each graham cracker sheet in half; lay the pieces flat on a lined baking sheet.

In a mixing bowl, combine creamy peanut butter, softened butter, powdered sugar, and vanilla extract. Blend until smooth.

Roll the peanut butter mixture into 1-inch balls and flatten each onto the graham cracker pieces.

In a microwave-safe bowl, combine semi-sweet chocolate chips and vegetable oil. Microwave until melted.

Dip each topped graham cracker into the melted chocolate, allowing excess chocolate to drip off.

Melt peanut butter chips with oil, then drizzle over the chocolate-covered crackers.

Refrigerate until the chocolate sets, about 30 minutes.