1. In a large, deep skillet, over medium-high heat, cook chicken in 3 Tbsp. Teriyaki sauce until just white on the outside (doesn't need to be cooked through).
2. Add remaining ingredients, except broccoli and extra teriyaki sauce, and bring to a boil.
3. Reduce heat and cover with lid. Simmer for about 20 minutes.
4. Add broccoli, cover again, and simmer an additional 5 minutes or until rice is cooked through.
5. Spoon extra teriyaki sauce, to taste, over the rice and serve immediately.