If you'd love to add some extra culture to your trip, put Museum of Angels on your to-do list. Check if guided tours are available or just look around at your leisure.
You'll have no end of sightseeing choices in Anyksciai. Museum of Angels is a great place to start here, but there are plenty of other worthy spots to experience. St. Matthias Church, and Beacon of Happiness Monument are not far from the museum and will round out your day nicely.
