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

Great little chocolate shop that features sweets and cakes with a different take on chocolate. It's part of the Summerbird chain of small chocolate shops, but this one is the "Pure" shop and is dedicated to experiment with flavours and try out new recipes before they are launched in the whole chain. Every month the shop creates a new "flødebolle"(cream bun) based on the time of year and what's available from nature in a limited batch. I'm hooked and need to go there at least once a month.

This is a lovely place to go if you want to enjoy the beach. It's also beautiful when its not bathing season. Go check out these little beach houses in beautiful colors. Also make sure to go for a walk in the forrest just next to the beach. 

Great coffee and breakfast - and a very nice soundsystem.

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.