I actually have to slightly revise my previous statements and risk assessments. Although I still believe Greece is quite safe for the average traveler and citizen, there are two potentially risky situations. One is the risk associated with the status of the economy, where there is approximately a 20% chance that there will be a Grexit and a default in the next 4 months, which may be controlled or disorderly. If this were to happen, the country will be in an unchartered territory, and it will most likely include significant social disarray and a substantial increase in crime and violence.

The second risky situation is the unwillingness of the new leftist government (mostly on ideological grounds) to control anarchists' violence in Athens. The result is that a small group of 100 anarchists clashes with the police daily in the center of Athens, burning cars and destroying public property, and a lot of other craziness that happens daily with minimally consequences (e.g., occupying and destroying public universities for weeks, threatening academics, and a multitude of other craziness that will leave a westerner speechless, but are somehow considered "free speech" in Greece).

Again, although Greece and Athens are quite safe for the most part, there is the potential that the confusion and possible ineptness of the current government in handling the financial crisis and public order could gradually or suddenly leave the country in a state of disorder. In any case, you would know it if this were to happen.