Heat peanut oil in a large skillet over medium-high heat. Add ground beef and cook until browned.
Add diced onion, sliced bell pepper, and minced garlic; cook until vegetables are tender.
Mix cornstarch with cold water to create a slurry, then add to the skillet along with beef broth, soy sauce, brown sugar, honey, ginger, and sesame oil. Stir well and simmer until sauce thickens.
Serve the beef and broccoli mixture over cooked rice.
Notes
Adjust soy sauce and honey to taste for desired sweetness and saltiness.