As others have said, Concorde's seat was a cradle type. It was incredibly comfortable and one was only in that seat for a tad over 3 hours.
Of course, the open flow of beverages the entire flight was a nice addition! Besides being a bit 'happy' after a drink or two, other things got your attention and provided a nice diversion, like the Mach meters and listening to the sound of the air (it was more of a sizzle sound than what one hears on a subsonic).