http://en.wikipedia.org/wiki/Concorde
Concorde was built as a Brit/French venture... with 600% cost overrun...was frequented by business people and had only 20 planes in the fleet. It did its run for 27 years and ended commercial flights in 2003.
Also, BTW, not to be forgotten, there was Tupelov TU-44 Russian supersonic jet.
Almost after they came off the drawing board (1969-70) the 'oil crunch' of 1973 occurred. This put a dent in their popularity.
Relatively safe flight record, it only had one crash in 2000. "As a result of its only crash on July 25, 2000, world economic effects arising from the 9/11 attacks and other factors, operations ceased on 24 October 2003."
Then there were noise abatement issues and flight-path restrictions, notable in USA ... so they could only fly into JFK in NYC and Dulles in Wash DC (eastern coastal cities).