His other credits include The Mighty Boosh (2005), The IT Crowd (2007), Doctor Who, The Crown, (both 2017), Manhunt (2019), Strike (2020), The Serpent Queen (2022–present), A Small Light and Black Mirror (both 2023).

[3] Burns has had recurring roles in the TV series Absolute Power,[3] Roman's Empire,[3] and the sketch show Man Stroke Woman.

[3] Burns also made an appearance in The Mighty Boosh as the ruler of the planet Xooberon; in The IT Crowd as Jerome, the director of a musical called Gay!

[3] In 2022, he played the role of Antoine de Bourbon in Starz's The Serpent Queen, alongside Samantha Morton and Liv Hill.

[3] In 2023, he starred as Keith Holligan in the series 6 episode "Demon 79" of Netflix's Black Mirror, alongside Anjana Vasan[6] and in A Small Light as Victor Kugler.