Huge department stores brim with shoppers, neon flashes from dusk to dawn, and the entire world pays heed to the slightest fluctuation on the Nikkei Index. From the Imperial Palace and Meiji Shrine to the fabled Ginza district, 20th-century Tokyo is an intriguing composite of East and West. Yuppies sporting Walkmen bow formally in greeting. Women in kimonos and Dior suits stroll side-by-side. Geishas play samisens while disc jockeys play the Top Forty. Japanese houses of wood and paper stand in the shadow of towering steel and mortar. Not far away, one of the world's most impressive sights soars 12,388 feet to its snow-clad peak: Mount Fuji, the majestic symbol of Japan.

Large Jeju Island 60 mi/100 km off the coast of the mainland and 300 mi/485 km south of Seoul has a distinctive history, dress, architecture, language and tradition. Jeju is an extremely popular tourist destination for Koreans, especially honeymooners. Millions of won have been pumped into building deluxe hotels and modernizing infrastructure. Although development has somewhat ended the island's isolation, it hasn't eroded its charms—it is still a great place to visit. Jeju seems a world away from the mainland, even though it's relatively easy to reach—only an hour's flight south of Seoul or a several-hour ferry ride from Busan, Mokpo or Wando.

If you have a choice of when to go, visit in late spring, when Jeju is covered with beautiful yellow yuchaehwa flowers. The island's primary attractions are beaches, fishing, casinos, scuba diving, a weavers' village (Hallim), hot springs and three stunning coastal waterfalls, particularly the Jeongbang Falls at Seogwipo, which plunge almost directly into the sea.

In friendly and festive Jeju, the largest city on the island, there's a Folkcraft and Natural History Museum and an interesting market. About 4 mi/6 km from the city is Moksuk-won, a natural sculpture garden of stone and wood. On the south side of the island, Jeju Folk Village Museum, a collection of traditional houses with musical performances and displays, is well worth a visit.

Also on the island is the tallest mountain in South Korea, Hallasan, which is topped with snow in the winter. There are hiking trails on this extinct volcano, and it has an impressive crater lake. Be sure also to visit some caves: According to legend, three gods emerged 2,500 years ago from the Samseonghyeol (literally "three clans' holes") to create the Jeju Island people.

On a drive around the island, note the black-lava statues of old men, called harubang: Their origin is unknown and the subject of much debate among anthropologists. You can also watch as divers (traditionally women) hunt for clams, pearls and abalone. A dying breed, these incredible women dive into the ocean's depths for long periods of time without using any scuba or snorkeling gear.

Other attractions include saltwater baths (in Sinyang, Hyeopje and Jungmun), the Bijarim nutmeg forest, tangerine groves, the Sanbanggul Buddhist Grotto, the Jungmun beach-resort area and Manjang Cave (the world's longest lava tube). Plan at least two to three days to explore the island.

Huge department stores brim with shoppers, neon flashes from dusk to dawn, and the entire world pays heed to the slightest fluctuation on the Nikkei Index. From the Imperial Palace and Meiji Shrine to the fabled Ginza district, 20th-century Tokyo is an intriguing composite of East and West. Yuppies sporting Walkmen bow formally in greeting. Women in kimonos and Dior suits stroll side-by-side. Geishas play samisens while disc jockeys play the Top Forty. Japanese houses of wood and paper stand in the shadow of towering steel and mortar. Not far away, one of the world's most impressive sights soars 12,388 feet to its snow-clad peak: Mount Fuji, the majestic symbol of Japan.