SAS has round-trip flights from New York or Los Angeles (EWR/LAX) to Europe (see full list below) for $275-$410 with a connection. Flights January to March.
Note: Carry on bag with a maximum weight of 18 lbs is allowed for free on SAS. You can avoid seat selection fees by accepting the randomly assigned seat at the gate.
Here’s the list of the destinations on sale.
Athens (route has a long return connection)
Birmingham (route has long connection times)
Dublin (route usually has long connection times)
Edinburgh (route has long connection times)
Thessaloniki (route has long connection times)
(We may have missed a few smaller airports, so experiment on those on your own)