Preheat oven to 350°.
Layer frozen broccoli on the bottom of a casserole dish.
Add a layer of shredded chicken on top of the broccoli.
Combine soups and mayo, then layer on top of chicken.
Sprinkle shredded cheese over the casserole.
Top with prepared stuffing mix.
Cover with foil and bake for 30 minutes.
Remove foil and bake an additional 30 minutes.