Film:
* The Hitchhiker's Guide to the Galaxy (2005): As Marvin the Paranoid Android
* The Best Exotic Marigold Hotel (2011): As Douglas Ainslie
* The Second Best Exotic Marigold Hotel (2015): As Douglas Ainslie
* The Boat That Rocked (2009): As The Count
* Confessions of a Shopaholic (2009): As Graham
* The World's End (2013): As Oliver
* Absolutely Fabulous: The Movie (2016): As Saša
* The Electrical Life of Louis Wain (2021): As Sir William Gosse
* About Fate (2022): As Gregory
* The Electrical Life of Louis Wain (2021): As Sir William Gosse
Television:
* Outnumbered (2007-2014): As Peter Brockman - Lead Role
* Mock the Week (2005-present): As Panellist - Regular
* Would I Lie to You? (2007-present): As Panellist - Regular
* The Big Fat Quiz of the Year (2006-present): As Panellist - Regular
* QI (2003-present): As Panellist - Regular
* The Great British Bake Off (2010-present): As Narrator
* The Green Green Grass (2005-2009): As Derek "Ducky" Smeeton
* Not Going Out (2006-present): As Lee
* The Increasingly Poor Decisions of Todd Margaret (2010-2012): As Derek
* Hunderby (2012-2013): As David
* The More You Ignore Me (2015): As Arthur
* The Goes Wrong Show (2017-present): As Dennis
* The Unremarkable Journey of Mr. Clark (2019): As Mr. Clark
* Ghosts (2019-present): As Mike Lawson - Lead Role
This is just a small sample of his extensive work. He is known for his comedic roles in both film and television, and his voice work is also very popular.