Have a look at these Restaurants and bars recommendations

Marion

The village of Kathikas north of Paphos has several Cypriot Restaurants. Can recommend Aroussos and the Farmyard Tavern!

Hi - Although I have not been to his new premises Akis Tavern which is on the main road very near to the turning for Paphos Airport used to serve the very best of Cypriot food He used to be in a very small place - not easy to find - in the centre of Yeroskipos village where they make the Cyprus delights and was always closed on Tuesdays the food was exceptionally good and we used to visit with cypriot friends on a regular basis - regards Anbron

Nicolas Tavern is the place to eat in Cyprus for traditional Greek-Cypriot food. Only problem is that it is in Protaras!

http://www.heureka.clara.net/sunrise/protaras.htm

Also see thread on Eating out in Protaras

http://www.holidaytruths.co.uk/viewtopic.php?t=76318

though not a great deal of use if you are in Paphos.

Just to tempt you

http://www.heureka.clara.net/sunrise/nicolas-tavern.htm