Anoghi is the most traditional village on Ithaca. It's worth the trip to the top just for the views, but once you're there you may as well walk around the earthquake struck ruins and sit for a refreshment.
General Store and Taverna
There is no page for this local cafe bar, but it's still worth a visit. The owners can make dinner for you on request and with some notice. You won't have any trouble finding it, it's the only one in town and is situated right next to the church on the Square.