Adventure is just around the corner at the Museo Archeologico Regionale Eoliano. It's one sight you'll find on many travelers' to-do lists. If you still have room on that travel itinerary, Canneto Beach and Lipari Castle will keep you occupied, as well.
If you have a few more days to spare and you're happy to travel 20 miles, check out Filicudi. This popular place offers loads of things to keep you engaged. Capo Graziano ought to be at the top of your list here. La Canna and Filicudi Beach are interesting attractions too. Don't miss Stromboli either! Just 25 miles away, it also boasts plenty to explore. Stromboli Volcano, Strombolicchio and Piazza San Vincenzo are definite must-sees.