He earned the International Master (IM) title in 1965 by winning the World Junior Championship. He moved to Zagreb in 1966 to study Italian and English at the Faculty of Philosophy, graduating in 1972. Kurajica was awarded the General Motors title in 1974.
He played chess in Zagreb until 1979, when he relocated to Sarajevo in order to play for ŠK Bosna.
One of his notable tournament successes was joint 3rd/4th place at the 1976 Wijk aan Zee. In the same year he was awarded the title of FIDE Trainer.
As of 2006, he shared his residence between Sarajevo and Santa Cruz de Tenerife. On the May 2010 FIDE list his Elo rating is 2548.
He played for Yugoslavia in Chess Olympiads at Valletta 1980 (won team bronze medal) and Thessaloniki 1984. After the collapse of Yugoslavia, he represented Bosnia and Herzegovina eight times between 1992 and 2006 (won team silver medal at Moscow 1994). In December 2005 Kurajica won the 13th Salona Tournament in Solin.
