Preheat the oven to 200C.
In a bowl, mix the miso paste, honey, soy sauce, mirin, sesame oil, garlic, and ginger until smooth.
Add the vegetables to a large roasting tray, drizzle lightly with oil, season, and toss to coat.
Cut three slashes across the top of each chicken breast. Nestle the chicken breasts into the tray and spoon the miso glaze generously over each one.
Bake for 20 minutes, spooning the sticky sauce over the chicken halfway through, until cooked through and glossy.
Serve straight from the tray with rice or noodles. Drizzle over some crispy chilli oil if you like, and enjoy.