Preheat oven to 350 degrees F.
In a large frying pan, brown ground beef with onions, peppers, pepperoni, salt, and pepper. Drain excess fat.
In a large mixing bowl, beat the eggs. Add cream and pepper, and beat together. Add shredded cheese to egg-cream mixture.
Grease a large casserole dish well. Layer the ground beef mixture, and then pour the egg cream over top.
Bake for 30 minutes covered, and the final 15 minutes uncovered.