Anyone who reckons it wasn't technically innovative should read The Concorde Story by Chris Orlebar (I think that's his name).
I can't remember it all off hand, but most of the things that got it to do what it did had to be invented.
And this was done in the days before computers did all the work.
I was at uni @ Brunel & you could see it take off from our halls of residence.
We sometimes used to go to one of the Heathrow access roads & watch it take off. Hmmmm, it was definitely an emotional experience.
2nd time I flew, the plane in front of ours in the queue was Concorde & the noise & vibration when it took off was incredible; loads more than when we actually took off!!
Sad that a bit of debris from another plane ended up grounding her....but I reckon they were just waiting for an excuse to stick her in a museum.
Incidentally, our work Christmas dinner was at Duxford in the main hangar, with dinner served (and the dance floor) under the wing of Concorde. I spent a large portion of the evening just looking at it.