Prepare pudding mix according to package directions, using 1 3/4 cups milk; stir in vanilla extract. Cover and chill.
Combine cream cheese and sugar, stirring until smooth. Spoon cream cheese mixture into pie crusts, carefully spreading to cover bottoms of crusts.
Spoon pudding over cream cheese mixture; top each pie with 1 tablespoon whipped topping. Sprinkle with chocolate curls, if desired.