Me and my friend had a good time at Tia&Mikes place. It's a very modern apartment with a very nice touch to it. It's so newly renovated that there was not a single scratch on the walls anywhere in our room. The apartment has 3 bedrooms, which are rented out individually. You share the bathroom and there is a kitchen. Tia&Mikes place is very conveniently situated and just a little walk away from the Akropolis.
If you are a light sleeper you might want to consider using earplugs, since Athens streets are very noisy.