Eos Airlines has launched a $999 each way sale on their all business class flights (48 flat beds on a 757) from New York to London. While they often have buy-one-get-one and companion offers that bring tickets as low as $1100 each way, they never have single tickets available this low. Fly between November 22-25 or December 18 to January 4 to get this fare.
(For full disclosure, I do some consulting work for them. This is still a great fare, though…)