Gliding across Lake Pichola to a gleaming white-marble palace that appears to float on water is a surreal experience. A former royal residence, Taj Lake Palace has one of the most unique settings on Earth. Within, it’s just as impressive as you would imagine. The restaurants and spa (it’s on a boat) are exclusive to hotel guests, ensuring an intimate environment in this island hideaway. The Shambhu Prakash Presidential Suite takes its royal history seriously: It blends opulent Indian and European decor, offering a bit of Versailles in Udaipur. There are high, curved ceilings, rich fabric, sumptuous drapes, carved wood and glittering chandeliers throughout. Sunsets are best enjoyed from your private balcony.