Busan Museum of Art is the city's main contemporary art museum, with exhibitions that range from Korean modern and contemporary work to international shows. It is a good counterpoint to Busan's beaches and markets, especially on a wet or windy day.
The museum sits near Centum City, so it is easy to combine with the Shinsegae complex, BEXCO, or a longer loop toward Haeundae. Check the current exhibitions before going; the permanent identity of the museum is strong, but the temporary programme often decides how much time you will want to spend.