1. Line cookie sheet or tray with waxed paper.
2. Place white chips and shortening in medium microwave-safe bowl. Microwave at MEDIUM (50%) 1 minute; stir. If necessary, microwave an additional 15 seconds at a time, stirring after each heating, until chips are melted and mixture is smooth when stirred. Cool slightly; stir in peanuts and mini peanut butter cups.
3. Pour mixture on prepared tray; spread to about 1/2 inch thickness. Gently tap cookie sheet on countertop to even out thickness of mixture. Repeat tapping cookie sheet on counter until candy is desired thickness.
4. Refrigerate about 30 minutes or until firm. Break or cut into pieces. Store in cool, dry place. About 1-1/2 pounds candy.