Add gingersnap crumbs and butter; mix well. Press onto bottom of 13x9-inch pan.
Beat cream cheese and sugar in large bowl with mixer until blended.
Add pumpkin, spice and vanilla; mix well.
Add eggs, 1 at a time, mixing on low speed after each just until blended.
Pour over crust.
Bake 45 min. or until center is almost set. Cool completely. Refrigerate 4 hours.
Microwave caramels and milk in microwaveable bowl on HIGH 1-1/2 min. or until caramels are completely melted, stirring every 30 sec.; spoon over individual servings of cheesecake.