If museums are on your list of things to see in Sumenep, then you might want to head to Royal Carriage-House Museum. If you want to experience more of the culture Sumenep has to offer, head to Asta Tinggi Cemetery, Taman Sari, and Sumenep Palace.
Seeing the sights doesn't have to break the bank. For some things to do in Sumenep, you can head to landmarks like Sumenep Palace to snap some photos and explore.