In a small mixing bowl whisk together honey, brown sugar, sesame oil, lime juice, soy sauce and water. Set aside.
Preheat a 12 to 14-inch non-stick skillet over moderately high heat. Crumble beef into about 1-inch pieces into skillet, leaving a little space between as possible.
Let beef cook undisturbed for 2 ½ - 3 minutes until nicely browned on bottom. Sprinkle in green onions (white/light portion), garlic and ginger.
Toss and break up beef and continue to cook until beef if fully browned and cooked through, about 2 - 3 minutes longer.
Pour in honey mixture. Reduce heat to medium, then let simmer, stirring frequently, 1 minute.
Serve warm over rice, sprinkle with green onions, peanuts, sesame seeds and drizzle with hot sauce if desired. Serve with veggies on the side.
