Vaki & Mike's apartment is a great place to stay if you want to explore the city and feel like you are an Athenian yourself. :-) My room was bright and quiet and very spacious. The bed is very comfortable, and I also had a spacious closet, a comfy sofa chair and a table to work on. The kitchen is smaller, but equipped with very modern appliances.
First I thought it might feel uncomfortable because all 3 bedrooms are rented out to guests. But after talking to the other two guests, I felt like coming home when i got back to the apartment.
Pangrati is a lively neighborhood with lots of stores and coffeeshop. The church nearby is really beautiful.
I walked to Syntagma, which is a nice 20 minute walk through a lively neighborhood and then through the National Garden, which is really beautiful.