Wolmido Island is about a kilometer (a half-mile or so) from Incheon and, once upon a time, was actually an island; now it’s joined to the mainland by both road and monorail. During the war, it was used to block access to Incheon and was occupied by North Korean soldiers. The island was one of the first places attacked when South Korea and the U.S. headed for Seoul. Today, it’s a big playground with an amusement park with lots of walking paths and restaurants. The islet also is the site of the Traditional Garden, which replicates some famous scenic spots around the country. It makes for an easy city break—and it's free.