This is a list of events from British radio in 1938.

• 3 January – The BBC Empire Service, begun in 1932, transmits its first programme in a foreign language: Arabic.
• 13 January – The BBC makes a radio broadcast of a matinee performance of the musical Me and My Girl live from the Victoria Palace Theatre in London, following cancellation of a sporting event.^[1]
• 30 September – Lieutenant commander Thomas Woodrooffe commentates for BBC radio on Neville Chamberlain's return from signing the Munich Agreement.

• 5 January – Band Waggon, BBC (1938–1940)

• 17 February – Jo Kendall, radio comedy actress (died 2022)
• 27 June – Alan Coren, humourist (died 2007)
• 3 August – Terry Wogan, Irish-born broadcaster (died 2016)
• 10 September – "Diddy" David Hamilton, born David Pilditch, broadcaster
• 28 October – David Dimbleby, broadcaster
• 1 November – Malcolm Laycock, radio presenter and producer (died 2009)
• 13 December – Chris Emmett, radio comedy actor