1. Heat oil in large skillet over medium-low heat. Add onion, green pepper and garlic; saute until softened, 8 minutes. Add ground turkey; saute, breaking up meat with wooden spoon, for 4 minutes or until no longer pink.
2. Stir in chili powder, cumin, salt and allspice; saute 1 minute. Add tomatoes and water; simmer for 7 minutes.
3. Stir in zucchini, beans and green chilies; simmer, stirring occasionally, until zucchini is tender, 10 minutes.
4. Transfer to serving dish. Sprinkle cheese and green onion over top.