HEAT oven to 375ºF.
BEAT eggs, milk and sour cream in large bowl with whisk until well blended. Add broccoli, stuffing mix, ham and 1/2 cup cheese; mix lightly.
POUR into 2-qt. casserole; cover loosely with foil.
BAKE 1 hour. Uncover. Sprinkle with remaining cheese; bake 5 min. or until cheese is melted and broccolli mixture is heated through.