Line a 13 x 9-inch baking dish with aluminum foil (I have a cookie sheet that is slightly larger than 13 x 9, so I used that). Add the chocolate chips to a medium glass bowl and microwave on high for about 1 minute and 20 seconds. Stir until chips are all melted. Spread the melted chocolate out on the foil using a spoon or spatula. Place in the refrigerator to harden.
Meanwhile, place the candy canes in a heavy-duty plastic bad and crush with a mallet or rolling pin. (Go ahead and take your holiday stress out on those candy canes!)
In another medium glass bowl, place the white chocolate chips and melt in the microwave on 70% power for about 1 minute and 20 seconds. Stir until all of the chips are melted. Stir in the peppermint extract. Spread evenly over the chilled semi-sweet chocolate. Sprinkle with the crushed candy canes. Chill until hardened and break into pieces.