A Kilometer stone (circa 1925) stands directly outside Nørreport station, in Copenhagen K. It's easy to pass by, but definitely worth noting if you're in the area — The typographic work on it is incredible.

This bridge leads from the center to Christianshavn and Amager. Christianshavn is a really sweet and old area, with a canal with lots of boats, nice restaurants and cafes. Right next to Christianshavn is the Freetown Christiania.

Contemporary Art Gallery in the center of Copenhagen focusing on mainly international, abstract, minimalistic art. 

Placed in the city center. A place to stroll around in, watch tourists, plants, trees, birds and garden workers.

Between colony gardens in Amager lies one of my favourite local spots: Baghaven. Good food and cosiness is in the forefront. Various events with and without music gather people on the square at Diamantgangen 75. A very local experience. Great for families, children, young and old.