In a microwave-safe bowl, melt butter and 1/2 cup chocolate chips; stir until smooth. Cool slightly. Stir in the egg, sugars and extracts. Combine the flour, cocoa, baking powder and salt; gradually add to chocolate mixture and mix well. Fold in 3/4 cup Andes candies.
Roll rounded tablespoonfuls of dough into balls. Place 2-in. apart on ungreased baking sheets. Bake at 350° for 8-10 minutes or until tops appear slightly dry. Cool for 1 minute before removing to wire racks to cool completely.
In a microwave, melt 1 teaspoon shortening and remaining chocolate chips and Andes candies; stir until smooth. Melt white baking chips and remaining shortening in a microwave at 70% power for 1 minute; stir. Microwave at additional 10- to 20-second intervals, stirring until smooth.
Dip half of the cookies in melted chocolate mixture; allow excess to drip off. Place on waxed paper. Dip remaining cookies in melted baking chip mixture; allow excess to drip off. Place on wax paper. Immediately sprinkle with toppings of your choice. Let stand until set. Yield: about 2-1/2 dozen.