National Gallery of Iceland Laugavegur & Skólavörðustígur

This pretty stack of marble atriums and spacious galleries overlooking Tjörnin offers ever-changing exhibits drawn from a 10,000-piece collection. The museum can only exhibit a small sample at any one time; shows range from 19th- and 20th-century paintings by Iceland’s favourite artists (including Jóhannes Kjarval and Nína Sæmundsson) to sculptures by Sigurjón Ólafsson and others. The museum ticket also covers entry to the Ásgrímur Jónsson Collection and Sigurjón Ólafsson Museum.