Preheat the oven to 350°F. Lightly grease a 9-inch springform pan.
Crush the Oreo cookies into fine crumbs using a food processor or a rolling pin and bag.
In a bowl, combine Oreo crumbs and melted butter and stir until evenly moistened.
Press the crumb mixture firmly into the bottom and slightly up the sides of the springform pan.
Bake the crust for 10 minutes, then remove from the oven and reduce the temperature to 325°F.
In a large mixing bowl, beat the softened cream cheese and granulated sugar together until smooth and creamy.
Add the sour cream, vanilla bean paste, mint extract, and salt to the cream cheese mixture and beat until combined.
Add the eggs one at a time, mixing on low speed just until each egg is incorporated. Do not overmix.
Add several drops of green food coloring and mix briefly until the batter is evenly tinted a pale mint green.
Fold in the chopped Andes mints with a spatula until evenly distributed.
Wrap the outside of the springform pan tightly in several layers of aluminum foil to prevent water from leaking in.
Place the foil-wrapped pan in a large roasting pan and pour the cheesecake batter into the crust, smoothing the top.
Pour hot water into the roasting pan until it reaches about halfway up the sides of the springform pan, creating a water bath.
Carefully transfer the pan to the oven and bake at 325°F for about 70 minutes, until the edges are set and the center still jiggles slightly.
Turn off the oven, crack the oven door open, and let the cheesecake cool inside for 30 minutes.
Remove the cheesecake from the water bath, discard the foil, and place the pan on a wire rack to cool at room temperature for 1 hour.
Cover the cheesecake and refrigerate for at least 4 hours, or until thoroughly chilled, preferably overnight.
For the ganache, place the chocolate chips or chopped chocolate in a heatproof bowl.
Heat 3/4 cup heavy cream in a small saucepan over medium heat until it just begins to simmer, then immediately pour it over the chocolate.
Let the mixture sit for 2 to 3 minutes, then add a pinch of salt and stir until smooth and glossy.
Pour the ganache over the chilled cheesecake and spread it into an even layer. Refrigerate for about 30 minutes, or until the ganache is set.
For the whipped cream, add 3/4 cup heavy cream, confectioners’ sugar, and 1/4 tsp mint extract to a chilled mixing bowl.
Beat the mixture on medium-high speed until medium to stiff peaks form.
Add 2 to 3 drops of green food coloring and beat briefly until evenly tinted.
Pipe or spoon the mint whipped cream onto the top of the chilled, ganache-topped cheesecake.
Garnish with additional Andes chocolate mints or Oreo crumbs.
Store the cheesecake covered in the refrigerator until ready to serve, then slice and serve chilled.