Photo: Seoul Metropolitan Government (KOGL)
서울대학교박물관
Museum · Gwanak-gu
Excavated artefacts from major sites including Jeongok-ri in Yeoncheon, Osan-ri in Yangyang, Heunam-ri in Yeoju, the Goguryeo fortresses around Achasan, and the Seokchon-dong Tombs and Mongchontoseong Fortress in Seoul, along with the Geunyeokhwahwi albums compiled by Oh Se-chang.
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Source: museum.snu.ac.kr
Seoul National University Museum of Art
FreeArt gallery · Seoul Nat'l Univ. Stn. (Line 2) + bus
Contemporary art for free in a cantilevered building designed by Rem Koolhaas. Combine it with a campus stroll.
Gwanak Central Library
FreeLibrary · Gwanaksan Stn. (Sillim Line)
Public library in Gwanak-gu. Free entry and reading, with heating and air conditioning.
Saemmal Park, Gwanaksan Neighborhood Park Saemmal Zone
FreePark · Gwanaksan Stn. (Sillim Line)
At the foot of Gwanaksan in Daehak-dong, Gwanak-gu, the area known for the Sillim-dong exam-cram district, private land left to unauthorized farming and rubbish was bought out and opened to the public in 2009 under the neighborhood hillside park project. Since olden times
Seoul Youth Center Gwanak
FreeStudy & youth space · Seoul Nat'l Univ. Venture Town Stn. (Sillim Line)
A lounge, study and community space free for all young people, part of the Seoul Youth Center Orang network.
Seoul Education Science Center
FreeMuseum · Nakseongdae Stn. (Line 2)
A free science center next to Nakseongdae. With an astronomical observatory and an ecology greenhouse, it fills half a day with kids.

Nakseongdae Park
FreePark · Nakseongdae Stn. (Line 2)
A park on the birthplace of General Gang Gam-chan. Pair the blue-tiled Anguksa shrine with the free exhibition hall.
National Museum of Korea
Partly freeYongsan-gu · Ichon Stn. (Line 4, Gyeongui-Jungang Line)
Korea's largest museum, with all permanent galleries free. The spacious lobby and Reflecting Pond garden are good for a rest, and Wednesday and Saturday evening openings are quieter.
National Folk Museum of Korea
FreeJongno-gu · Gyeongbokgung Stn. / Anguk Stn. (Line 3)
A free museum of Korean daily life. The outdoor Memory Street and children's museum make it great for families.
Seoul Museum of History
FreeJongno-gu · Gwanghwamun Stn. / Seodaemun Stn. (Line 5)
A free museum on Seoul's transformation from the Joseon era to the present. The old Tram No. 381 outside is a photo favourite.
National Museum of Korean Contemporary History
FreeJongno-gu · Gwanghwamun Stn. (Line 5) Exit 2
A free modern history museum facing Gwanghwamun Square. Insider tip: the rooftop viewpoint takes in Gyeongbokgung and the square at a glance.
Postage Stamp Museum
FreeJung-gu · Euljiro 1-ga Stn. (Line 2) Exit 6, Myeongdong Stn. (Line 4) Exit 5
A compact free museum on the history of stamps. In the middle of Myeong-dong, so it's a handy escape from the heat or cold.