In a small bowl, mix thoroughly the cookie crumbs, 1 tablespoon granulated sugar, and melted butter until it resembles course, damp sand.
Sprinkle 2 to 3 tablespoons of the cookie crumb mixture into each jar or cup and lightly press with the back of a spoon. The amount will depend on the size of dish you are using.
In a medium bowl, beat the heavy cream on high until stiff peaks form, about 5-6 minutes. Remove a third of the whipped cream to a separate bowl to use for topping. Set aside the remaining two thirds for now.
In a large bowl, beat together the cream cheese with the sour cream until smooth, about 3 minutes.
Add the granulated sugar, ground cinnamon, ground ginger, ground cloves and ground nutmeg and continue beating on high until thoroughly combined, about 2 minutes.
Add the molasses and vanilla extract and continue beating until smooth, about 2 minutes.
Add the whipped cream to the bowl and fold in using a rubber spatula.
Divide the cheesecake mixture evenly between the jars and spoon the mixture over the cookie crumb base.
Refrigerate for at least 2 hours.
Top with the set aside whipped cream, gingerbread cookies, star anise and cinnamon sticks and enjoy immediately.