Pat chicken dry and season with 1½ tsp salt and pepper. Dredge in flour.
Heat oil in a Dutch oven. Brown chicken in batches, skin-side down first (5-7 mins), then flip (1-2 mins). Set aside. Pour off all but 2 tbsp fat.
Sauté onion for 5 mins. Add garlic; cook 1 min. Add mushrooms and peppers; cook 5 mins.
Add wine, scrape bottom, and boil 5-6 mins until reduced.
Add broth, tomatoes, tomato paste, sage, rosemary, oregano, honey, and remaining 1 tsp salt. Boil, then simmer 10 mins.
Return chicken to pot. Cover and simmer 35 mins until chicken is cooked (165°F).
Remove chicken. Simmer sauce to thicken. Discard chicken skin, return chicken to pot, and warm through. Garnish with parsley.