Mr Smith told Mr White that he was the most agreeable artificial intelligence he had met since he arrived on Earth. (TV: Goodbye, Sarah Jane Smith)
The Cyberium was an artificial intelligence which contained all the knowledge and future history of all Cybermen, (TV: The Haunting of Villa Diodati) serving a role once held by the history computer. (TV: The Tomb of the Cybermen, PROSE: Iceberg, et al.) The Alliance sent the Cyberium back through time and space in order to prevent the return of the Cyber-Empire. (TV: Fugitive of the Judoon) It landed in Lake Geneva in June 1816. (TV: The Haunting of Villa Diodati)
The Library, a planet-sized library, was attended to by the Doctor Moon, an artificially intelligent moon. (TV: Silence in the Library, Forest of the Dead)
An early attempt by the human race to construct an artificial intelligence resulted in WOTAN. Completely amoral and megalomaniacal, it sought to take over Earth on a number of occasions. (TV: The War Machines, AUDIO: The Law Machines)