Savour the stunning landscapes of the Peruvian Andes in South America&rsquos first luxury sleeper train, the Belmond Andean Explorer (fares from $642 per person per night belmond.com). Believed to be one of the highest train journeys in the world, the new train will traverse the Peruvian Andes from Cusco to Lake Titicaca and Arequipa, giving you a glimpse of ancient Inca kingdoms and delightful Andean views.