There is (or possibly was - I'm not sure) a deal where you can get a Concorde return LHR to JFK for 1260 USD. It goes something like this:
Join Starwood hotels & QANTAS frequent flier programmes.
Buy 21 subscriptions to "Inside Flyer" magazine for $60 a go. They give you a shedload (3000?) of Starwood points for each subscription.
Convert your points to QANTAS miles at rate of 1pt=2miles. This gives you enough miles for a free Conky return.
I believe a lot of people have taken advantage of this. Try a google search for "FlyerTalk" and check out the QANTAS & Starwood BBs.
[Or it could just be an elaborate urban legend.]