Our stay at Annas flat was the third time we go to Athens and I must say it's the place that allowed us to experience the city at its most authentic.
The flat is a short walk to the awesome Keramikos and not far from the equally cool Exarcheia, not to mention a 20 minute walk to the Acropolis and all the other more touristy places.
Athens tip: Most cabs will cost about 3.50 (before midnight), in case you want to be dropped off at your doorstep on your way back.
The flat itself is a small oasis if you need a break from the city and the terrace has more than enough space to do all of the lounging.
Thumbs up!