In a small bowl, mix together cookie crumbs and melted butter. Spoon cookie mixture evenly into small jars or dishes and press to form a crust. Set aside.
In the bowl of a stand mixer, beat together cream cheese and confectioners sugar until light and blended. Add melted chocolate, pure vanilla extract and red food colour and beat until evenly blended. Fold in whipped topping.
Spoon cheesecake mixture into prepared cups. Alternately, transfer cheesecake mixture into piping bag and pipe into cups. Serve immediately or refrigerate cheesecakes until ready to serve. Top with vanilla whipped topping (see notes) and chocolate shavings.
Optional Topping: Mix 1 teaspoon of pure vanilla extract into 1 8oz container of thawed whipped topping. Top Red Velvet No Bake Cheesecakes with a dollop of vanilla whipped topping and chocolate shavings.