In 2000, Mitra had a small role in the film Hollow Man as a neighbour who is raped by Kevin Bacon's character.

In 2008, Mitra starred in the lead role of the science fiction/action film Doomsday as Major Eden Sinclair (sometimes mistakenly named in some databases as being Caryn Peterson), and in 2009 went on to star in Underworld: Rise of the Lycans as Sonja, the daughter of the powerful vampire elder Viktor (played by Bill Nighy).

She stars in the 2010 Anders Anderson thriller film Stolen, alongside Josh Lucas, Jon Hamm and James Van Der Beek.

[8] In 2014 and 2015, she played Rachel Scott in the first two seasons of Michael Bay's post-apocalyptic television series, The Last Ship.

She also stars in the lead role in science-fiction film The Experiment, alongside Famke Janssen and Stefanie Martini, where she plays Captain Ava Stone.

In 2025, she lands the female lead opposite Joel Kinnaman in Debriefing the President , the four-hour miniseries greenlighted at TNT.

Her life on the farm rescuing horses has been featured in 2023 on the Channel 5 TV show Ben Fogle: New Lives in the Wild.