For Disney she worked as a film producer for films such as the 1988 award-winning film Who Framed Roger Rabbit, Arachnophobia, Noises Off, A Far Off Place, The Young Black Stallion, War Horse and Lincoln. Kennedy and her husband were also producers for the English versions of three Studio Ghibli animated features, Ponyo released in 2009, The Secret World of Arrietty released in 2012 and The Wind Rises in 2014.
In June 2012, Kennedy was named co-chair of Lucasfilm Ltd. alongside George Lucas, whose role will eventually be assumed by Kennedy. With the sale of Lucasfilm to The Walt Disney Company, she was promoted to president. Additionally she will serve as the brand manager for the Star Wars franchise, working directly with Disney's global lines of business to build, further integrate, and maximize the value of this global franchise. Kennedy will also serve as executive producer on the Star Wars Sequel Trilogy, starting with The Force Awakens in 2015 as well as all upcoming films in the Star Wars Anthology Series.