For nearly all of 14 years, the BBC staged and broadcast weekly live plays, at least one which included time travel: a production of the 1926 play, Berkeley Square. According to lostshows.com, no copy of Berkeley Square survived, but I did enjoy a telerecording of their 1954 staging of Nineteen-Eighty-Four (with no time travel!) that caused a stir in cold-war era Britain.
Attention, comrades, attention! Here is a complementary production bulletin issued by the Ministry of Plenty giving further glorious news of the success of the seventh three-year plan! In clear demonstration of the rising standards of our new, happy life, the latest calculated increases are as follows. . .

Variants

(1)
  1. BBC Sunday-Night Theater, |pending byline| (31 May 1959).