Her film appearances included Frenzy (1972), Henry VIII and His Six Wives (1972), Bequest to the Nation (1973), and Billy Elliot (2000).
Her early film roles included Catherine Parr in Henry VIII and His Six Wives (1972), Bequest to the Nation (1973) and Oh Heavenly Dog (1980).
In 1983 Leigh-Hunt appeared as the Queen of Bavaria in the mini-series Wagner, sharing her scenes with Ralph Richardson, Laurence Olivier and John Gielgud as court ministers.
Leigh-Hunt played Jean Lawrence in the controversial BBC drama Tumbledown (1988), and Lady Catherine de Bourgh in Pride and Prejudice (1995), and provided the voices of the farmer's wife in The Plague Dogs (1982), and Captain Mildred and Mary the Hover Fairy in the 1987 Children's BBC series Charlie Chalk.
More recently she appeared in such films as Paper Mask (1990), Keep the Aspidistra Flying (1997), Billy Elliot (2000), The Martins (2001) and Vanity Fair (2004), and had much work on television, mainly in guest character parts.