Bring a large pot of water to boil. Boil broccoli for 2 minutes. Drain well.
In a large mixing bowl combine mushroom soup, mayonnaise, eggs, onions and shredded cheese and mix well.
Pour over broccoli and toss to combine. Pour into greased casserole dish.
Sprinkle crushed cheese crackers on top. Bake at 400 degrees F for 40-45 minutes.