Odense's Attractions. Odense offers several must sees, i.e. the Hans Christian Andersen House & Museum, the Cathedral, international art at Brandts and more. Search. Find free attractions, events etc. in Odense It is also possible to visit severeal of our attractions free of charge. Odense International Film Festival. The island and archipelago of Fyn is placed in the centre of Denmark between Zealand Visit maritime cities, breathtaking castles and world-class restaurants.