The capital area is where most visitors land, and Korea Trip Map currently covers one place in it: Seoul. The city mixes five royal palaces from the Joseon dynasty with glass towers, hillside hanok lanes, night markets, department-store food halls and a subway network that reaches nearly every sight. It is large enough that a first visit easily fills three or four days, yet the best parts are linked by train, so you can change your plan on the fly without losing a morning to transport.
Most international flights arrive at Incheon Airport, which is connected to central Seoul by airport rail and express buses, and the trip into town takes roughly an hour. A second airport, Gimpo, serves domestic flights, including the short hop to Jeju. Seoul is also the hub for the fast trains to the other regions on this site. KTX trains leave for Busan, Jeonju and the southeast, and a fast train runs to Gangneung on the east coast, each in roughly one and a half to two and a half hours.
A good way to organize Seoul is by area rather than by individual sight. Pair a palace with the old-town streets around it, group the riverside and museum districts together, and keep shopping and nightlife for the evening. Our planner does this grouping for you. Other places in the wider capital region, such as Incheon and the islands and lakes outside the city, are not yet part of this site, so we do not describe them here. Opening hours, closing days and prices change, so check official sources before you go.