It was back in 2001 that I realized that I was within reach of a partner award on Air France's Concorde -- a fantasy trip of mine. So I got a DL AMEX, credited all SkyTeam flights to DL, and saved up DL SkyMiles for about 2 years in anticipation of having enough miles for an award ticket.
I had redeemed 160,000 miles for the SFO-JFK-CDG-LHR trip (with the JFK-CDG portion on the Concorde) for June 2003. In April 2003, Air France announced it would stop its flights in May, meaning that I would miss my opportunity! I
immediately called Delta to see what Concorde flights (if any) were still available. I believe I called on April 11. Turns out they had flights departing a few days later, on April 17, and returning on April 27.
Although my boss had not authorized time off for those dates, I reasoned that I can always get another job, but I might
never be able to fly on the Concorde again! Flying on the Concorde was a dream of mine, and I was seriously willing to give up my job for it (which, fortunately for me, wasn't necessary!

).
A few things I remember:
(1) the cursory security search given to passengers (surprising, since 9/11 was still fresh in everyone's mind);
(2) how narrow the plane, and its seats, were;
(3) my visit to the cockpit, which is the only operating cockpit I've ever been inside of.
(Pics at
http://www.mikew99.com/gallery/concorde200304 for those interested.)