BA004 is JFK-LHR on specified days - they put on this extra flight recently due to demand.
AS to avaiulabiltity - LHR-JFK is non-existent. JFK-LHR earlier today has Sep 27 and Sep 29 availability - not sure whether that's still there. Check Galileo and see my last post in
http://www.flyertalk.com/forum/Forum15/HTML/005077.html
[This message has been edited by alect (edited 09-24-2003).]