John Barry was a composer, band leader, and multi-instrumentalist who wrote scores for movies and TV shows. He wrote the score for eleven James Bond movies from 1963 to 1987, and while he didn’t write the iconic "James Bond Theme" (it was written by Monty Norman, a fact which has been the subject of a couple of lawsuits brought against Norman by Barry), he arranged it for the 1963 movie Dr. No. He has won five Academy Awards (icluding Best Original Score and Best Original Song for 1966’s Born Free), two BAFTA awards and one Golden Globe. He has also recorded extensively with his band, the John Barry Seven, in which he primarily plays trumpet (as noted yesterday, he also plays keyboards, drums, and harmonica).
Here is the theme song from the British game show Juke Box Jury, which ran from 1959 to 1967, "Hit And Miss."
Here is the theme from the 1971-72 series The Persuaders!, which starred Tony Curtis and Roger Moore.