Christiania - an artist commune and “green-light district” - is a must-visit and, if you are looking for a top-notch culinary experience, the NOMA fermentation lab (restaurant, too) is expensive but well-worth it. On the nearby Funen island, you can visit the H.C. Andersen museum (Odense) and one of the oldest intact viking ship burials left at its site of discovery (Ladby).