Place the peanut butter, softened butter, powdered sugar, and vanilla extract in a mixing bowl. Stir until the mixture forms a smooth, thick dough.
Scoop out portions and roll them into 12 small balls with your hands. Set the balls on a parchment-lined baking sheet.
Add the white chocolate chips to a microwave-safe bowl. Heat in 20-second bursts, stirring between each, until fully melted and smooth.
Dip each peanut butter ball into the melted white chocolate to coat it evenly. Return the coated balls to the baking sheet.
Press one candy eyeball gently onto the top of each ball while the chocolate is still soft. Let the cookies sit until the coating firms up.