Air France is offering a 1-day sale (March 15th) on fares from the US to Europe, starting at $640 (taxes included) for flights from New York to Barcelona April 1 – May 17.
(Note: that landing page says you can book by March 26th, but the email says you must book today. YMMV).
Given the ridiculously high fares to Europe ($1000+ in April), this is a bargain.
Other fares include $685 to Amsterdam from New York and up to $835 from flights from LA to Amsterdam. Lots of other cities available.