Cut 12 circles from bread (use round cookie cutter); set aside. Fit scraps of leftover bread in bottom of a 9 x 13-inch baking dish (remove top crusts). Place slices of cheese in a layer over the bread (save a little cheese to shred). Add a layer of broccoli. Add a layer of ham or chicken. Arrange 12 bread circles on top. Combine remaining ingredients and pour over bread, soaking it thoroughly. Cover and refrig- erate at least 6 hours or overnight. Bake, uncovered, in 325° oven for 55 minutes. Add shredded cheese on top about 5 minutes before end of baking time. Let stand 10 minutes before cutting in squares.