Even using the Pythagorean Theorem, I can't find the angle Delta is taking with this amazingly low airfare to Athens.
Fly from New York-JFK to Athens, Greece for $303 roundtrip this April and May and for a few dollars more at $306 in September and October!
Seats are selling out quickly so you'll have to get on this one ASAP before its gone. Scattered dates are available during midweek travel in April and May, but the bulk of availability can still be found in September into early October. One leg of the journey will be nonstop on Delta's metal while the other will be on a partner's plane like Alitalia or Air France and require a short connection.
The best way to book this fare is through a third-party site like Expedia or Orbitz as they are showing the broadest range of seat availability amongst search sites.
Delta's site is also displaying availability where I was able to find tickets departing JFK on Tuesday, April 2 and returning from ATH on Thursday, April 18, 2019. But again you'll have better luck with other search sites finding inventory.
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Need a place to stay steps away from the Acropolis? Here's what's available from Hotelwatchdog for the mentioned travel dates.
Keep in mind that this tickets into Basic Economy which only includes a carry-on bag plus one personal item. If you need to check bags, consider paying for the standard Economy fare, which includes one free checked bag and seat selection.