She's had guest roles in The Ghost Squad, in November 2005, and Shameless in February 2006. In September 2006 Channel 4 show Goldplated debuted with Burley playing a main role in the ensemble cast. Due to low ratings, a second season was never commissioned.
She has also starred as Cathy McAleer in BBC Three show Drop Dead Gorgeous throughout its first series in 2006 and its second in 2007.
Her stage credits include the title role in Bollywood Jane at the West Yorkshire Playhouse throughout June 2007 and Constanza in a Sheffield revival of Peter Schaffer's Amadeus.
In 2010, she appeared in the dance film StreetDance 3D as the lead role alongside George Sampson, Diversity and Flawless. She portrays Isabella Linton in a 2011 film adaptation of Wuthering Heights. She appeared as Witney Whitehead in the BBC drama Candy Cabs which began on 5 April 2011. She also starred in one episode of crime drama Lewis on ITV 1.
