Brown chicken in a large skillet with a lid.
While the chicken is browning, mix the vinegar, oil, soy sauce, honey, and ginger together in a small bowl.
Add the rest of the veggies, except for the broccoli. Add the rice, sesame seeds, sauce, and broth. Cook over a medium-high flame until it reaches a boil.
Lower flame, place lid on pan and simmer for 15 minutes.
Add broccoli and simmer for an additional 5 minutes or until liquid is cooked off.
Let stand for 5 minutes.