Seed and slice red bell pepper into 1-inch strips. In a large skillet, brown the ground beef with the sliced red bell pepper and matchstick carrots. Drain and return to skillet.
In a small bowl, whisk together the hoisin sauce, sesame oil, soy sauce, rice vinegar, minced onion, garlic powder, and ground ginger. Pour over the browned ground beef, reduce heat to medium low and simmer for 5 to 7 minutes, allowing flavors to mingle.
Swirl the cornstarch with a tablespoon or two of water and stir it into the sauce. Let it simmer for 2 to 3 minutes to thicken the sauce. Spoon beef mixture into lettuce leaves.
Prepare the fruit, or cook the rice.
Serve Asian Beef Lettuce Wraps with sesame seed garnish and fruit or rice as side dish.