Combine first 10 ingredients (through garlic) in a zip-top plastic bag. Marinate in refrigerator at least 4 hours, turning occasionally.
Heat oil in a large skillet over medium-high heat. Add onion; sauté 4 minutes. Add chicken mixture and bell peppers; sauté 5 minutes or until chicken is thoroughly browned on all sides. Add broth and salt; simmer, uncovered, 15 minutes or until chicken is done. Combine cornstarch and water in a small bowl; stir well. Add cornstarch mixture to chicken mixture; simmer 2 minutes or until sauce thickens. Stir in cilantro. Serve over rice.