Film:
* The King's Speech (2010): He played the role of Private Davies, a member of King George VI's entourage.
* The Woman in Black 2: Angel of Death (2014): He played the role of Sergeant Harris.
* The Eichmann Show (2015): He played the role of a British officer.
* The Lost City of Z (2016): He played the role of a member of the expedition.
* The Death of Stalin (2017): He played the role of a member of the Politburo.
* The Darkest Hour (2017): He played the role of a member of Parliament.
* The Favourite (2018): He played the role of a Lord of the Bedchamber.
* The Personal History of David Copperfield (2019): He played the role of Mr. Micawber.
* Operation Mincemeat (2021): He played the role of Major Bill.
* The Electrical Life of Louis Wain (2021): He played the role of a doctor.
Television:
* The Crown (2016-present): He plays the role of Lord Mountbatten.
* The Last Kingdom (2015-2020): He played the role of Bishop Eadred.
* Peaky Blinders (2013-2022): He played the role of Father Hughes.
* Grantchester (2014-present): He played the role of Father David.
* The Bureau (2015-present): He played the role of Jean-Paul.
* The English Game (2020): He played the role of Lord Arthur Kinnaird.
* The Serpent (2021): He played the role of Charles Sobhraj's lawyer.
This is not an exhaustive list, as Orde Browne has a very extensive filmography. However, it highlights some of his most prominent and notable roles.