Absolutely loads... i find it hard knowing where to go next! Some of my favourites are -
Timi's Cyprus Taverna
Stefany's
Dionysos
Kalypso
Odyssia
If you like Italian Broccolino is a fantastic little place, quite a limited menu but fantastic homemade pasta. If you like your pizzas then Casa Della Pizza is another italian owned restaurant with fresh pizzas from a traditional wood oven.
To treat yourself (great food but a little pricier than the mainstream restaurants) -
Ambrosia
Arhontiko
Mavrikos
Med East
There really are plenty of great places to eat, you won't be stuck for choice