Božičević's opus encompasses three symphonies, orchestral, chamber, choral and soloistic works, as well as numerous electronic compositions. He is interested in a variety of genres (early and baroque, electronic, jazz, world music) and the possibility of “cross-fertilizations“ between those genres, always aiming for the stylistic amalgamation on a deeper level..
His works were performed in Serbia, Croatia, Sweden, Germany, France, Russia, Great Britain and USA. Numerous recordings were made for Serbian national radio and television, Swedish national radio and Croatian national radio and television. Božičević received compisition prizes in Serbia, Croatia, the United Kingdom and USA (ArtsLink Fellowship Award, Garth Newel Prize, Anton Stadler Award). He is one of the founding members of the Splithesis ensemble for new music in Split, Croatia.