Well, nothing that ‘first flew’ on my birthday on 15/07/1986, but closest one to that date would be this Thai Airways Airbus A300-601, registration HS-TAE, which first flew on 13/08/1986 and is still in current active service with the same airline!

More info on this aircraft: http://www.airfleets.net/ficheapp/plane-a300-395.htm