Career
Bunjak started his career in Sloga Kraljevo. He played with FK Radnički Kragujevac, FK Šumadija 1903, and FK Borac Čačak in the Yugoslav Second League. On August 8, 2012, Tanzanian Premier League club Azam appointed Bunjak as the new head coach on a two-year deal.
However, after just 2 months in charge of the club, he was fired for producing poor results.
On December 8, 2012, Myanmar National League club Yadanarbon appointed Bunjak as the new head coach. In October 2015, Bunjak returned in his home club Sloga Kraljevo, together with his assistant Petar Đekić.