I was looking for flights to NYC from Brussels and I found nice availability for 1226€ from June to January, maybe more, I haven't searched deeply...
https://www.google.be/flights/#searc...7-08;sc=b;eo=e
Bookable on Delta.com
Fly a 767, not the best lie flat seat out there, but if you score the first row, you'll get plenty of space for your feet