Omonia is the district for when you are looking for a budget hotel.
Omonia is the district for you if you like to explore the rawer side of Athens (and are looking for budget accommodation). The Plateia Omonia was once a chic square but does not have a good reputation; many travel guides tell you to stay away from here. It is indeed not the best neighbourhood in Athens, but not as dangerous as some would have you believe. Not many 'old stones' here, as this area was outside the city walls in ancient times, but you will see 19th-century architectural gems.