As the summer is my favorite time of the year and that the beach is just 15 min bikeride away, I recommend Amager strand. Full of people usually though, but even so it gives a bit of an exotic touch to such a scandinavian city with the sea and the bright sand in the hot summer days.
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.
Assistens Cemetery is one of the only cemeteries in the center of Copenhagen and beside from being a beautiful calm place to hang out, sunbathing and having a picnic, it is the final resting place for many great people through times. H.C Andersen, Søren Kirkegaard, Niels Bohr, Henry Heerup is just a few of them.