Final answer:
New Haven, Connecticut, is an example of a city in New England that is not a state capital. New England state capitals include Boston, Hartford, Providence, Montpelier, Concord, and Augusta.
Step-by-step explanation:
Boston, Hartford, Providence, Montpelier, Concord, and Augusta are state capitals in the New England region of the United States. Therefore, a city that is not a state capital in New England might be a larger city such as New Haven, Connecticut or a smaller town like Brattleboro, Vermont. It is important to recognize that while these cities may be significant in their own right, they do not hold the status of a state capital.