In a word, WOW! I've stayed in 7 different Airbnbs in Athens over the last 10 years and they were all wonderful in their own way. I can say from experience this is simply the perfect location and I've already booked for next year. The view of the Acropolis from the shared rooftop deck is simply unbeatable (trust me, I have seen it from all angles!).
The apartment was immaculately clean, nicely decorated, and the bed was very comfortable with quality bedding. The shower was great and the kitchen had all the basics, but not really equipped for much cooking.
They were literally in the process of upgrading their WiFi while I was there and I'm confident it will be better, I just happened to hit it when the installers stopped midway for a long weekend.
The neighborhood offers a wide variety of great cafes and restaurants and there is a full supermarket and great bakery within a 5 minute walk. It's close to all of the archaeological sites and it's fun to people watch from the terrace. Don't hesitate, just book it!