Copley was the male lead character in the four-part BBC series Days of Hope in 1975, which depicted events between the First World War and the General Strike from a family involved in socialist politics. In 1976, Copley won the Laurence Olivier Award for Actor of the Year in a New Play for his role in John Wilson's For King and Country. After appearing as Private Wicks in the film A Bridge Too Far, he played a small but noticeable role in Zulu Dawn as Cpl Storey in the British Army. He appeared in the then controversial ATV drama Death of a Princess, playing a British witness to the killing of an Arabian princess and her lover. He has played Matthews in Hornblower, Ian in Roughnecks and Jerry in This Life and Peter Quinlan in The Lakes. In the critically acclaimed Queer as Folk he played Nathan Maloney's father. He was in Big Finish's July 2002Doctor Who story Spare Parts and appeared in Shameless as a water sports enthusiast. In 1980 he appeared in the highly successful comedy drama series Minder playing George Palmer in episode The Old School Tie. He narrates the Channel 4 programme, How Clean is Your House?. He featured in the ITV children's hit show Best Friends in 2005–2006, playing the grandfather. He is a regular actor in Radio 4 drama, usually in gritty or romantic plays or series about hard-working folk set in the north of England, often repeated on BBC Radio 4 Extra. Whenever a genial Yorkshire accent has been cast in the department, he has often been summoned. Copley played the long-suffering teacher Geoff Long in Radio 4's long running King Street Junior. Covering ten series and some seventy-six episodes, this ran on BBC Radio 4 from 1985 to 1998. He also narrated the Yorkshire Television nine-part serial adaptation of The Pilgrim's Progress entitled Dangerous Journey. On 13 February 2006, Copley appeared as an angry hostage-taker in an episode of the crime drama Life on Mars. Copley appeared in the TV Soap Coronation Street on 8 August 2007, portraying a character called Ivor Priestley, and in the TV adaptation of The Worst Witch by Jill Murphy, as wizard and former-frog, Algernon Rowan-Webb. From 1998 to 2003, Copley played Mathews in the Meridian Television series Hornblower. He appeared in the third series of BBC One show Torchwood in 2009. The following year, he was seen in episodes of BBC One shows Casualty and Survivors. From 2011 to 2015 he appeared as Mr. Mason, father of William Mason, in 16 episodes of Downton Abbey; in 2012, he played Alan in the television series White Heat. Between 2012 and 2020 he played Harry in 5 seasons of the TV series Last Tango in Halifax. In 2014 he played the part of Malcolm Kenrich in the episode "On Harbour Street" of the TV series Vera. In 2014 he narrated the Channel 5 programme The Railway - First Great Western of which there are 12 episodes. He also features as the father in Tom Wrigglesworth's Hang-Ups, a comedy on BBC Radio 4. In 2016, he appeared in the BBC series The Coroner episode 2.4 "The Beast of Lighthaven" as John Roxwell. In 2017, Copley appeared in Jimmy McGovern’s acclaimed series Broken, Red Production CompanyTrust Me, and in episode 5 of Doc Martin he played the eccentric Walter O'Donnell. He also took part in What Does an Idea Sound Like promoting the and narrated A Celebrity Taste of Italy for Channel 5. In 2018, he played the role of Charlie Rainbird in the short film Thousand Yesterdays, currently in post production, and continues to voice Morrisons advertisements on radio and television in the UK. Additionally in 2018, Copley played Charity Dingle's father Obadiah in Emmerdale. On 7 February 2019, he made his first appearance as Leonard in the BBC radio 4 soap Opera The Archers. On 9 January 2020 he appeared as Feste in Father Brown on BBC1.
Personal life
He married the actress Natasha Pyne in 1972, after performing with her in a Leeds Playhouse production of Frank Wedekind's Lulu, adapted by Peter Barnes, directed by Bill Hays in 1971.