A BA Concorde did a repeat two engine taxi flameout after landing in LHR under the command of the famous Captain Walpole OBE whilst trying to set a crossing record.
A myth. The incident to which you refer did result in Concorde landing with less than planned minimum fuel but that is all. None of the embellished versions of Concorde engines flaming out or having to be towed to the gate because of the C of G, etc, are true.