Star Alliance member Swiss has a $346 roundtrip fare between New York and Paris.
This is a $30 base fare in each direction, plus taxes and fees.
This is a basic economy fare with no changes permitted. Outbound travel is available April 1 through May 6. Return travel is permitted April 1 through May 14.
In fact it’s available for $291:
Transatlantic discounters may be struggling, but they’re keeping fares from the majors low as well.