This is one of the places in Copenhagen that I know will do the job if I need some inspiration. The museums’ collections spans from over seven centuries, from early renaissance to current art. Especially the modern collection with its paintings, installations and performance art kickstart the old imagination.
Not only is the collection great, the architecture of the museum is equally beautiful. The old part is a classic museum-building, just as you would expect, but the newer addition is connected by floor to ceiling glass, doing a great job in separating the collections (classic and modern) as it physically changes the context.
Nestled just north of the city, Dyrehaven is a vast, surreal landscape of meadows, castles, and gnarled fairy-tale like forests — Inhabited by a seemingly infinite population of wild deer. Lovely for runs, strolls, woodland adventures, and the like.
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.