Menntaskólinn í Reykjavík
Many graduates from the country's oldest educational institution, established in 1846, have gone on to dominate political and social life in Iceland. Former president Vigdís Finnbogadóttir and numerous former prime ministers and cabinet ministers have studied in this school's hallowed halls. Other notable graduates are film producer Hrafn Gunnlaugsson and well-known author Þórarinn Eldjarn. This is a lovely building to enjoy the exterior of, but it is still an active school and not open to visitors.