Gently rinse lettuce leaves and pat dry, careful not to tear them. Set aside.
In a large nonstick skillet, heat oil over high heat. Add bell pepper and onion, cook 3 minutes. Add ground beef and cook 5 minutes, breaking up with a wooden spoon. Drain grease and return pan to stovetop; reduce heat to medium. Season with salt and pepper. Stir in garlic, soy sauce, hoisin and chili sauces, ginger, rice wine vinegar and honey. Cook until sauce has thickened, 3-4 minutes. Stir in green onions.
Spoon meat mixture into a medium bowl and place on a large serving platter. Arrange lettuce leaves around the bowl and serve.