Look at the Thalassa section on www.interkriti.net/hotel/plakias/horizon. We stayed in the smallest one twice and although there is a wall to the next apartment on the balcony, they have a huge terrace to go to anyway. The top one is really private. The views are fantastic and worth the dosh and the owners are very nice people. Cash not cards btw!
Thank you for your replies.
It's funny you mentioned the Thalaasa apartments, as that is where we stayed last year! We had one of the lower rooms and whilst we enjoyed the view there was one big drawback - the steps leading to the entrance door also led directly left onto the patio/balcony area - in theory anyone could have gained access and popped their head around the corner - not quite as private and relaxing as we had hoped. If we had known, perhaps we should have gone for the upper apartment.
It was 20 years since my last visit to Plakias and to be honest I didn't notice too much change , thankfully. It's still a great place to stay. Just a pity there is not a bit more choice in accommodation type.