Anguilla is a British territory with a small number of luxury resorts. Because it's exclusive, honeymooners can relax on beaches that aren't overcrowded with people. The resorts are pricey, but if you look hard, you might find a bargain.
Even though it's only 35 square miles, the island is packed with things to do. If you and your new spouse are foodies, you can pick from more than 100 restaurants, and feast anywhere from a beachside shack to a romantic waterfront venue. And if the two of you like art, Anguilla offers many local galleries and local crafts. Perhaps you can pick up a unique memento from your honeymoon. You can also enjoy scuba diving, golf and biking on the island, and if you're a bird watcher, Anguilla's 130 species will give you lots of reasons to take photographs.