Among his television credits are Black Books, Smack the Pony, Rescue Me, Wild West, Doc Martin, Bonkers, Love and Marriage and I Want My Wife Back.

His film work includes Bridget Jones's Diary, Ali G Indahouse, A Good Year, Nativity 3: Dude, Where's My Donkey?

He has acted in a number of television dramas such as Armadillo, The Nightmare Worlds of H. G. Wells and Dirty Filthy Love, working alongside Michael Sheen, Shirley Henderson, Ray Winstone and Stephen Rea.

In 2019 he worked with Steve McQueen (director) playing Mr Bains in the ‘Education’ episode of the critically acclaimed and multi award-winning series Small Axe (miniseries) for BBC/Amazon.

Since then he has maintained a theatre career alongside his screen work, playing roles varying from the Prince of Wales in The Madness of George III at the Leeds Playhouse (2003) to Bottom in A Midsummer Night's Dream at the Bristol Old Vic (2003) and Angus in Birmingham Repertory Theatre’s Neville’s Island (2005).

In 2010 he was in Tom Morris' production of Swallows & Amazons, playing “the seven-year-old Roger to hilarious comic effect.” [13][14][15][16] Originally at the Bristol Old Vic, it then transferred to the West End.

[19][20] His performance of Frank in The Memory of Water at the Nottingham Playhouse was lauded by Michael Billington of The Guardian, who called it ‘beautifully played’.

Proving to be incredibly popular, 'BS3 Santa' returns in 2021 in a different form, touring the show to entire Bristol streets rather than individual homes.

In October 2021, Wright started a podcast with two friends whom he worked alongside in the theatre industry, Adam Peck and Tom Wainwright.