She made her film début in Manifesto, which was followed by more British television productions including First Born, Summer's Lease, Press Gang, and The Mysteries of the Dark Jungle.While working on films and television in London, she met American actor Craig Sheffer, and moved with him to Hollywood.Anwar appeared in the television series John Doe and acted in The Librarian: Return to King Solomon's Mines.Anwar played Princess Margaret, sister of King Henry VIII, on Showtime's The Tudors in 2007.In 1992, she made a guest appearance on Beverly Hills, 90210 as Tricia Kinney.She followed that with the films Wild Hearts Can't Be Broken (inspired by A Girl and Five Brave Horses), Scent of a Woman, Body Snatchers, For Love or Money, The Three Musketeers, and Things to do in Denver When You're Dead.
One of her most memorable moments on screen came in 1992's Scent of a Woman, when she danced a tango with Al Pacino, whose character was blind.
Affectionately called the "Nation's Little Sister," Moon began modeling at the age of 10, then made her acting debut in 1999 as a child actress.
She first rose to stardom through her role as the young Eun-suh in the hugely popular television drama series Autumn in My Heart (2000), followed by a well-received turn in Kim Jee-woon's critically acclaimed horror film A Tale of Two Sisters (2003).
She studied drama and dance at the Italia Conti Academy of Theatre Arts in London.
Anwar's acting debut was in the British miniseries Hideaway.