Enyedi won the Golden Camera award for "My 20th Century" at the 1989 Cannes Film Festival. She began teaching at Academy of Drama and Film in Budapest (now known as the University of Theatre and Film Arts) that same year. In 1992, she was a member of the jury at the 42nd Berlin International Film Festival. Her 1994 film "Magic Hunter" was entered into the main competition at the 51st edition of the Venice Film Festival. In 2007, she was a member of the jury at the 29th Moscow International Film Festival. She received her doctorate from the University of Theatre and Film Arts in 2011.