This is one of the most romantic cities in the country. For authentic New England charm between New York and Boston, consider visiting the relaxed but also fairly well-known vacation destination of Mystic, Connecticut. Mystic Seaport, the nation’s leading maritime museum, is a must-see. Visitors love to explore the historical artifacts in this museum, which include old sailing ships and a reconstructed shoreline settlement from the 1800s. Even outside the museum, Mystic is a beautiful coastal town that lacks annoying crowds and the hustle and bustle of the big city.