The charming Vietnamese capital has aged well, preserving the Old Quarter, monuments and colonial architecture, while making room for modern developments alongside. Hanoi may have shrugged off several former names, including Thang Long, or "ascending dragon," but it hasn't forgotten its past, as sites such as Ho Chi Minh's Mausoleum and Hoa Lo Prison attest. Lakes, parks, shady boulevards and more than 600 temples and pagodas add to the appeal of this city, which is easily explored by taxi.

The shrines and temples of Kyoto offer a rare link between modern life in the city and its very ancient past. The Shimogamo Shrine dates to the 6th century and seems suspended in time, its serenity and spiritual power still palpable. Visit Fushimi Inari Shrine, then see the life-sized Thousand Armed Kannon statues of Sanjūsangen-dō. Enjoy traditional geisha performances, then savor a tranquil meal at a restaurant overlooking the Kamo River.