Bring chicken to a boil with salt, pepper and garlic. Turn to low, cover and simmer for about 40 minutes. Rinse and shred chicken into large pieces (will break up more when stirring into sauce) and set aside.
Cut broccoli into bite size pieces and steam till cooked but slightly firm - will continue to cook a bit in the oven. Put broccoli in the bottom of a 9x13 glass baking dish.
In large pot combine soup, mayo, chicken broth, curry powder (use less amount first and add more to your taste). I usually like about 4 T. Add a couple dashes of pepper. Heat over medium till warm. Add shredded chicken.
Pour soup & chicken mixture over broccoli.
Cover with shredded cheese.
Top with crushed potato chips.
Bake in 375 degree oven for about 30 minutes till bubbly and chips are golden brown.
Serve over white rice and serve with garlic bread.