Use Expedia to arrange your flight to New London, CT (GON-Groton - New London) airport or Fishers Island, NY (FID-Elizabeth Field) airport, and then select from a variety of places to stay that will deliver the luxury you want. Amenities are an important consideration when you plan a holiday, so we make it easy to find what you need to make your stay special. If you want a posh hotel that has a spa, an indoor pool or luxury bedding, Expedia can assist you in finding the best luxury hotel experience that Old Lyme offers. Old Lyme has some interesting things to see and do including Goose Island and Gillette Castle State Park, so you might want to take in the local sights during your visit.