Norwich worked extensively in radio and television. He was host of the BBC radio panel game "My Word!" for four years (1978–82) and also a regional contestant on "Round Britain Quiz". He wrote and presented some 30 television documentaries, including "The Fall of Constantinople", "Napoleon's Hundred Days", "Cortés and Montezuma", "The Antiquities of Turkey", "The Gates of Asia", "Maximilian of Mexico", "Toussaint l'Ouverture of Haiti", "The Knights of Malta", "Treasure Houses of Britain", and "The Death of the Prince Imperial in the Zulu War".