Christmas Night with the Stars was a BBC staple, running between 1958 and 1972 (with the exception of 1961, 1965 and 1966). The format remained the same – a familiar face would introduce specially made Christmas editions of popular BBC shows (each running for about ten minutes).
There’s several examples on YouTube. The 1958 edition, features Tony Hancock amongst others and is introduced by David Nixon.
The 1964 edition features the likes of James Bolam & Rodney Bewes in The Likely Lads and Terry Scott & Hugh Lloyd in Hugh and I and is introduced by Jack Warner.