Everything about Zenon Taverna is pretty fantastic. The food comes from Cyprus, and is perhaps the BEST of its kind in all of Astoria. Prices are reasonable, and the fare is vegetarian and vegan friendly. Beware: it's cash-only.
Second only to the great Zenon Taverna on 31st Ave., Kopiaste is truly delicious. Kopiaste boasts homemade Cypriot cuisine, and while some of their offerings are "underground" in that they're not formally on the menu, everything is made with love. The staff is incredibly friendly, and the owner is almost always on-site and hands-on. Make sure to try the skordalia to start, and don't leave without eating the gratis baklava. It's heavenly.