How about 'The Square Bistro' in Tala Village Square. It's a very nice venue in the lovely village of Tala with fabulous views across Paphos and the Mediterranean..... food is also very good. At the weekends they often have entertainment.
Sienna's is also very good with a nice atmosphere and excellent food. It's on the road from Paphos to Coral Bay. It's very popular so particularly if you are going at the weekend you would need to book.
Or, the fantastic Chloe's chinese restaurant, opposite the Venus Beach Hotel. Fabulous interiors all Chineseeee... carved wood, eched glass and authentic Chinese waiting staff in traditional dress etc.
Hope my reply isn't too late for your anniversary!!!