In the bowl of a stand mixer, whip the cream, powdered sugar, and peppermint extract together on high speed until medium peaks form. Fold in the green food coloring. Start with a few drops and add more if you want the color to be more green.
To assemble the cupcakes, spread about 1 tablespoon of the whipped cream on top of a chocolate mint thin. Place another chocolate mint thin on top of the cream to make a sandwich. Spread more whipped cream over the thin and add another thin. Top the final chocolate mint thin with whipped cream. You want to use four wafers per cupcake and end with cream.
Place cupcakes in cupcake liners or on a plate and stick in the refrigerator for at least 2 hours. You can refrigerate them overnight. The whipped cream will soften the thins making them soft like cake.
When ready to serve, remove the cupcakes from the refrigerator and sprinkle with chopped Andes mints and sprinkles, if desired.