The cathedral ("Dómkirkja") and the parliament building of the Icelandic capital Reykjavik.
The cathedral was consecrated in 1796. However, due to poor architectural know-how and difficult Icelandic weather conditions, it was repeatedly in danger, such as by rot. Several restorations, last in 1879, were needed to save it. Since then it has been adequately maintained.
Although the Icelandic Parliament is one of the oldest in the world, it took 950 years before it got its own building. It was designed by Danish architect Ferdinand Meldahl in 1881 (note: Iceland was still under Danish crown).