Shangri-la Hotel, Lhasa

Sitting at 12,000 feet with the Potala Palace a short walk away, this Shangri-La hotel leans into its namesake harder than any other in the group. The 262 rooms and suites layer earthy ochres, vivid Tibetan textiles, and carved filigree details over what is otherwise a polished business-class luxury template. The oxygen lounge is not a gimmick at this altitude; visit it before the cocktail bar, not after.