Beeny played Lenny Grove in the first British television soap, the BBC TV series The Grove Family, which was shown on Fridays from 1954 until 1957.

In 2001 he made a guest appearance in Last of the Summer Wine, something which he repeated numerous times until 2009 when he joined the cast as a regular character. He appeared originally as the character Herman Teasdale, who later became Morton Beamish.

In 2006, he played a cameo role in Emmerdale. Coincidentally, he played the cousin of the character Noreen Bell, who had been played by his Upstairs, Downstairs colleague Jenny Tomasin. Beeny also played cameo roles in BBC TV’s Sense & Sensibility and ITV’s series Honest.

Beeny’s son James, formed the band Virgin Soldiers in 2009 and co-wrote a production that commemorates the 100th Anniversary of WWI. The production, The Dreamers, premiered at the Assembly Hall Theatre Tunbridge Wells in October 2014, and reached the West End in the summer of 2015. Beeny played the role of The Storyteller in the production.

Beeny also toured in the play There’s No Place Like a Home with Gorden Kaye, and in 2011 toured in Five Blue Haired Ladies Sitting On A Park Bench. He appeared in pantomime at the Assembly Hall, Tunbridge Wells in late 2011, early 2012.

He died at his home in Kent on 3 January 2020, aged 78.