Naxos of today has all the necessary facilities of a modern resort for those seeking an active and cosmopolitan type of holiday, both by day and at night. Nevertheless, there are also some quiet corners for those who favour a more peaceful vacation.

Eating out in Greece is a national pastime and a leisurely pleasure. Whether dining at a local taverna or an elegant restaurant, Greeks take their time over food. The native cuisine is delightfully uncomplicated and quite different from what's found in Greek restaurants abroad. Much of the cooking relies on simple seasonings and fresh meat and vegetables.
It's common for Greeks to make a lunch of mezedes, or hors d'oeuvres. Typical dishes include fried meatballs, squash balls, octopus, shrimp, squid, cheese, olives, stuffed vine leaves, tzatziki (garlicky yogurt and cucumbers), eggplant dip, small sausages and giant beans. You can find mezedes at an ouzeri (serving ouzo, an anise-flavored liqueur) or at a mezedopolio (serving locally produced wine or beer); both of these types of restaurants are open only during the day.  For the evening meal, Greek tavernas serve such specialties as moussaka (lamb, eggplant and bechamel sauce), kabobs, pastitsio (lamb or goat meat  with macaroni and tomatoes), stifado (braised beef with onions) and paidakia (grilled lamb or goat chops). 
The cost of dinner for one, not including drinks, start 7 euro 
A lot of restaurants, Greek Tavernas, ouzeri, you will find in all tourist areas of Naxos