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Photo: Helge Klaus Rieder, CC0 via Wikimedia Commons
Visit the Eco Museum Samsø in Tranebjerg. The museum has several departments spread out across the Samsean landscape, and tries to communicate the cultural history of the island through activities, events, exhibitions and restored historic buildings. The headquarters in Tranebjerg are situated in an old restored half-timbered and thatched roof farm from 1917. It has been furnished and decorated as a Danish farmhouse from the 1850s (supposedly wealthy residents) and the garden has several activities going on throughout the summer months, including weaving, spinning and folk music arrangements. A part of the farm house has been dedicated to exhibit Samsø's pre-historic past, from the Stone Age to Medieval times. Other Eco Museum buildings on Samsø includes two old style mills, several different historic farm house types, an old post office, a blacksmith shop and archives on local history. Open from April to October all days. Some locations are only open in June, July and August. Interesting for both kids and adults.
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Samsø Festival near Ballen on the southeast coast, is an annual music festival and worth a visit if you happens to be around. A couple of other small festivals might also be worthwhile, including the Samsø Chamber Music Festival or the Children's Culture Festival perhaps.
Visit the Energy Academy and learn more about how Samsø evolved into a community powered completely by renewable energy.
Play some golf at the 18-hole seaside golf course at Besser. Very varied field with natural waterholes, rolling hills and a great view. Certified by the Peugeot Golf Guide as one of Denmark's 14 best golf courses.
Museum of Morgan cars from 1937 to 2017
At Nørreskiftegaard near Ballen, you can try horse riding.
You can have a look at the romantic Manor, and for a fee you can experience the beautiful English-style garden from 1870 here. The manor also rents out apartments and cottages all over Samsø for tourists.