Preheat the oven to 325°F. Line mini muffin tins with cupcake liners.
Melt 1 cup white chocolate chips in a small microwave-safe bowl in 30-second increments, stirring between each interval, until smooth. Set aside to cool.
Make the crust: in a medium bowl stir together 1½ cups mint Oreo cookie crumbles, ⅜ cup granulated sugar, and 3 tablespoons melted butter until evenly moistened. (If your Oreos are not already crumbled, pulse them in a food processor or crush them in a sealed bag.)
Divide the crust mixture among the prepared liners—about 1 tablespoon of crumbs per cavity. Press the crumbs firmly and evenly into the bottom of each liner using the bottom of a measuring cup or a small mallet.
In a large bowl, beat 16 ounces softened cream cheese with an electric mixer until smooth and fluffy.
Add ⅔ cups granulated sugar, 1 teaspoon peppermint extract, and 1 teaspoon vanilla extract to the cream cheese. Beat until fully combined and smooth.
Beat in the cooled melted white chocolate and ½ cup sour cream until incorporated. Taste to confirm the mint flavor.
Add the 2 eggs, one at a time, stirring by hand after each egg until just combined.
Add 1 to 2 drops gel-based green food coloring and stir by hand until the color is evenly distributed.
Fold in 6 finely chopped mint Oreo cookies.
Spoon the cheesecake mixture over the packed Oreo crusts, filling each cup almost to the top.
Bake at 325°F for 20 minutes, or until the cheesecakes are set and dry to the touch on top.
Remove from the oven and let the cheesecakes cool to room temperature (about 30 minutes). Then transfer the pan to the refrigerator and chill for 1 to 2 hours to firm.
Make the chocolate whipped cream: in a chilled mixing bowl whip 2 cups heavy whipping cream with 4 tablespoons cocoa powder and 6 tablespoons powdered sugar until stiff peaks form.
Pipe or spoon the chocolate whipped cream onto each chilled mini cheesecake and top each with an Andes mint (use the 18 Andes mints for decorating).