The Hague-born Drijver has practised classical ballet from the age of 6, and has worked as a model since she was fourteen.

In the film Komt een vrouw bij de dokter (Love Life) (based on the novel of the same name by Raymond van de Klundert), Anna played the role of Roos, the woman with whom Stijn (Barry Atsma) cheated while his wife Carmen (Carice van Houten) was battling breast cancer.

In 2010, she appeared in the mini-television series Bellicher; de Macht van meneer Miller, playing the role of Kirsten.

On the big screen she played the role of Ann Marai in the Dutch remake of the Flemish Film Loft.

In 2010 she starred in the show Niet zo bedoeld (Theater Bellevue [nl]), direction and text by Benja Bruijning).