Line 13x9-inch pan with foil, with ends of foil extending over sides. Mix cracker crumbs, butter and 3 Tbsp. sugar; press onto bottom of pan. Refrigerate while preparing filling.
Beat Neufchatel and 3/4 cup sugar in large bowl with mixer until well blended. Add berries; beat on low speed just until blended. Whisk in COOL WHIP. Pour over crust.
Refrigerate 4 hours or until firm. Use foil handles to lift cheesecake from pan before cutting to serve.