Besides being my hometown i believe that Copenhagen offers a variety of possibilities, initiatives and places to meet and engage.
From local art exhibit places like MOHS in the neighborhood of Vesterbro, which is located on our park strip Søndre Boulevard, also the home of Café Dyrehaven and numerous other great places, such as Sort Kaffe & Vinyl (just off Søndre Boulevard) - the local coffee and vinyl pusher, the best there is! Over to spots like Christiania, the home of many artists in the city and also the home of the alternative venue Loppen - to the venue and work shops area of Mayhem in Nord Vest, where you'll find many of the super alternative shows in the city. The list of exhibits, venues and eateries is miles long and so is the list of wonderful streets and parks. One in particular to mention is the street Jægersborggade in the hood of Nørrebro. This street is one collective, who have managed to turn it from a backside alley to one of the most interesting and vibrant spaces in the city, having everything from artists, coffee shops, direct vending of meat and veggies etc. from local farms and even a Michelin starred restaurant (which is affordable!). Street signs are made by the local community and just off the street, in the amazing park strip of Nørrebro Park there is a large community garden as well as one of the biggest playgrounds in the city. If you go to the other end of the street you'll find yourself at Assistens Cemetery, a quiet resting spot in the middle of the city, a former burial grounds, now a park - here you'll find the graves of many famous danish authors and other celebs, one is H. C. Andersen.
The city also hosts a bunch of events that are worth visiting, such as Copenhagen Jazz Festival, Festival of Endless Gratitude, Trailer Park Festival and many more.
One of the best things about Copenhagen is that it a small metropolis. It has a broad variety of offers, within very short distances - especially if you jump on a bike, like most of the population in the city chooses to do everyday, going to work, going out, going to the beach - the bike is always first choice!
The list goes on and i will be happy to continue this if anyone is interested.