[2] Bunjak started in 1990 at Sloga and continued at Javor, Radnicki Nis, Uralan, Red Star Belgrade.
[4] On 8 August 2012, Tanzanian Premier League club Azam appointed Bunjak head coach on a two-year deal.
In October 2015, Bunjak returned to his home club Sloga Kraljevo, together with his assistant Petar Đekić.
[8][9] In August 2018, Lebanese Premier League club Nejmeh SC appointed Bunjak head coach.
In July 2019, Kuwait Premier League side Kazma SC appointed Bunjak head coach.