In the 2000s, Swift appeared in Gosford Park playing the footman Arthur, and Roman Polanski's Oliver Twist as Mr Bumble. For BBC3 he played Barry in the cult hit The Smoking Room and had a theatrical hit with Abigail's Party, the last production at the old Hampstead Theatre and their longest running west end transfer.
In 2009 he played the lead in the true story of Sean Greenhalgh in The Antiques' Rogue Show for BBC2 with Liz Smith and Peter Vaughn, The Deacon in a film adaptation of Anton Chekhov's short story The Duel and featured in Canoe Man, a 2010 TV drama based on the John Darwin disappearance case.
He starred in the independent British feature film Downhill, which is a comedy about four men attempting Alfred Wainwright's Coast to Coast Walk which was released in 2014 and co-stars Ned Dennehy, Karl Theobald and Richard Lumsden. The film was directed by James Rouse and the screenplay was written by Torben Betts.
He is currently filming the sequel to Mary Poppins: Mary Poppins Returns, which will be released in 2018.
