Add all ingredients to a large bowl and combine by hand until creamy. Set aside while preparing crust.
Preheat oven to 350 degrees F. In a bowl, add melted butter to crushed gingerbread cookies. Spray six wide-mouth half pint jars with non-stick spray. Spread about 1/4 cup of gingerbread crust evenly over the bottom of each jar.
Place jars on a cookie sheet and bake for 5 minutes to set the crust.
Remove jars from oven and immediately pour pumpkin filling over the crust, leaving space for the cheesecake layer.
Bake jars for 20-25 minutes, or until the filling is set. Cool to room temperature.
Beat room temperature cream cheese with superfine sugar, most of the milk, and vanilla until smooth. Carefully spoon over cooled pumpkin filling and refrigerate until ready to serve.
Top with whipped cream, crushed gingersnap cookies, caramel sauce, or cinnamon as desired before serving.
Notes
Store in refrigerator for up to 2 days. Enhance flavor by chilling before serving.