When Sydney Newman was poached by the BBC to head up their drama department in late 1962, he invited Shubik to join him. Accepting the offer, on the condition that she be promoted to producer within a year, Shubik joined the BBC in 1963 and became the story editor for "Story Parade", an anthology series of adaptations of modern novels that was intended to be the main drama strand for the new channel BBC2 due to be launched in 1964. One of the best-received installments of "Story Parade" that Shubik worked was an adaptation of Isaac Asimov's 1954 novel "The Caves of Steel" starring Peter Cushing. Just as the success of “Murder Club” had enabled Shubik to persuade Newman to commission "Out of this World", so "The Caves of Steel"’s positive reception opened the door for Shubik to devise a similar anthology series for BBC2 called "Out of the Unknown", on which Shubik acted as story editor and producer. Like "Out of this World", under Shubik's stewardship "Out of the Unknown" concentrated mainly on adaptations of science fiction stories including works by Frederik Pohl, Ray Bradbury, J.G. Ballard and Isaac Asimov (of whom Shubik was a particular fan, commissioning adaptations of six of his works for "Out of the Unknown", once commenting that he was "one of the most interesting and amusing men I have ever met"). Among the most notable productions were adaptations of Kate Wilhelm’s "Andover and the Android", John Brunner’s "Some Lapse of Time", E.M. Forster’s "The Machine Stops" and Mordecai Roshwald’s "Level 7". The adaptation of "The Machine Stops" won the first prize at the Fifth "Festival Internazionale del Film di Fantascienza" ("International Science Fiction Film Festival") in Trieste on 17 July 1967.