Mix together all the ingredients for the marinade, taste and adjust seasoning. Set aside.
Put the chicken and broccoli in 1 large bowl and the potatoes, peppers and onions in another. Pour half the marinade into each bowl and mix well. Set the chicken and broccoli aside.
On a large baking sheet roast the potatoes, peppers and onions for 20 minutes, pull from the oven and stir.
Add chicken and broccoli to the pan and roast for 20-30 minutes more, or until the chicken is cooked thru.
Be sure to pour all the juices over the chicken and serve immediately.
Pairs best with a Greek Salad and is delicious topped with crumbled feta, kalamata olives and tons of fresh herbs like dill, mint and parsley. Enjoy!