Air China is offering return airfares to Athens for $1078 return. This on it's own is the cheapest Athens flight posted on Cheapies. The kicker is there are very very long layovers on both connections through Beijing of 21/22 hours. However Air China offers a free transit hotel + breakfast so you can potentially arrive, freshen up in a hotel/sleep, then explore Beijing for the whole day.

Next best price for these flights are $200 more so pretty decent deal. More Air China North American + Europe Deals on their promo page. 144/72 hour visa

via Flightscout