I highly recommend Vasiliki's place. The views are amazing and it is right in the heart of the shops and cafes surrounding Acropolis. The views from the balcony were excellent and we loved that we could enjoy a private viewing of the outdoor theater with our own bottle of wine right off the balcony! Vasiliki and her daughter were incredibly responsive and helped us with all of our cab rides from the airport and to the ferry. My only regret is that we could not spend more time at Vasilikis place. It's not super fancy, but its clean and comfortable and I can't imagine a better place to be in Athens.