Edward Snowden, at the time of writing, is in Sheremetyevo International Airport in Moscow, currently enjoying the fact that airports are internationally neutral territory, and so he is not on Russian (or American) soil. Russian President Vladimir Putin didn't seem to mind too much that Snowden is there, but stated that he hopes Snowden leaves as soon as possible, so that the United States can go be angry with another country:
"The sooner he selects his final destination point, the better both for us and for himself," Putin said. The United States has publicly been very angry with Russia for not handing Snowden over. Russia has chosen to essentially say "he's not our issue."
At the Moscow airport, we can only assume that Snowden is establishing a life for himself, making friends and maybe even finding some work, just like Tom Hanks did in the movie The Terminal, in which Tom Hanks was an Eastern European immigrant, stuck at JFK airport due to an international conflict. This can go alongside related fantasies that Snowden is James Bond (or Ethan Hunt?), dodging U.S. agents as he slips through their fingers.
The next stop for Snowden, once he succeeds in setting up Zoe Saldana with that other guy, is likely Ecuador, where Julian Assange, founder of WikiLeaks and U.S. secret-spiller currently lives at the British embassy, in more comfortable politically safe territory.
Assange had previously stated that Snowden is "safe and healthy," so apparently the two are in contact.