In a medium bowl, combine crushed Mint Oreos with melted butter. Press the mixture into the bottom of a 9x13-inch baking dish to form a crust. Chill for 10 minutes.
In another bowl, beat the cream cheese, sugar, and 2 tablespoons milk until smooth. Fold in half of the whipped topping. Spread this layer over the crust.
Whisk together the chocolate pudding mix and 3 1/4 cups cold milk until thickened. Spread the pudding evenly over the cream cheese layer.
Top with the remaining whipped topping. Sprinkle with additional crushed Oreos or chopped Andes mints.
Refrigerate for at least 4 hours before serving.