Part of the AM Resorts group, the Secrets St. James and Secrets Wild Orchid occupy a peninsula poking into Montego Bay, providing some coveted privacy in one of Jamaica’s more developed tourist districts. Resort highlights include a 15,000-square-foot Pevonia spa, a wide variety of dining choices, and — if you stay in the Preferred Club — access to the amenities at the nearby Breathless Montego Bay Resort & Spa, too.