Heat oven to 350°F. Spray 12x8-inch (2-quart) glass baking dish with nonstick cooking spray. Place potatoes, ham and green beans in sprayed baking dish.
In small bowl, combine soup, milk and 1/2 cup of the cheese; mix well. Pour over mixture in baking dish; stir gently to mix. Sprinkle with remaining 1/2 cup cheese.
In small bowl, combine butter and bread crumbs; mix well. Sprinkle over top.
Bake at 350°F. for 1 hour 10 minutes to 1 hour 15 minutes or until mixture is bubbly.