Hi pokepsw,
Welcome to FlyerTalk.
Please learn the following, in order to take advantage of the helpful resources shared in the forum:

It seems that you are looking for the cheapest fare ex-NYC-Europe, rather than a Mileage Run Deal.

Please read the sticky thread atop the Mileage Run Deals forum - the forum is for sharing deals. It is not for asking for the cheapest fare.

Sticky: Welcome to the Mileage Run Forum - Important information how the MR forums work
especially:
You might find some useful replies and strategies in TravelBuzz, but if you are just after the cheapest fare, then sign up to FareCompare (often abbreviated to FC) and the major travel booking websites, as well as contacting both travel consolidators (e.g. the US equivalent/subsidiary of Flight Centre) as well as travel agents.

Please restrict your future posts in Mileage Run Deals to deals that earn status miles on the major/alliance airlines, per the sticky thread.

You should find a lot of expired fares, moved to Mileage Run Discussion, so familiarise yourself with how people book the fares, so you are both prepared and ready to strike, once the next one appears in Mileage Run Deals.

Good luck, sign up to the sites, contact TAs and consolidators, read the MR forums, learn the lingo, do your research, then see if you have anything useful to ask - or DEALS to share.

Cheers,
BiziBB
Moderator, Mileage Run forums

(I hope that you can use this advice and the FT resources wisely; I'll now close this thread.)