He was the younger brother of the actress, Mira Stupica, and father of Srđan Todorović.

[2] He had an extensive acting career, and has had roles in critically acclaimed Yugoslavian films such as The Marathon Family (1982), Balkan Express (1983), Balkanski Špijun (Balkan Spy, 1984), Time of the Gypsies (1988), and Underground (1995).

Following secondary school, Bora completed army service, at which point he had no plans to pursue an acting career.

In October 2002, he appeared on the Zvezdara Teatar in Belgrade in the play Larry Thompson.

[2] In November 2002, he received the Lifetime Achievement Award "Pavle Vujisić" for his roles in Yugoslav cinema, and in December 2006, he received the Lifetime Achievement Award "Dobričin prsten" for his roles in Yugoslav theater.