National Art Treasures The National Gallery of Iceland is a well-known landmark by the Lake in Reykjavík. It was originally built in the early 20th century as an icehouse, and today it houses the National Gallery collections. New exhibitions open regularly, highlighting the best of Icelandic contemporary art as well as Icelandic art history. The gallery shop sells books in English about Icelandic art, as well as a range of gifts and souvenirs and a comfortable café welcomes guests. Admission to the National Gallery includes one more museum, which displays the home of painter Ásgrímur Jónsson.