Cukić released two albums with Bulevar: Loš i mlad (Bad and Young)[1] and Mala noćna panika (A Little Night Panic).

He recorded three albums with Bajaga i Instruktori: Pozitivna geografija (Positive Geography),[3] Sa druge strane jastuka (On the Other Side of the Pillow)[4] and Jahači magle (Fog Riders).

[10] At the end of 1995, Negovanović left Spori Ritam Band and became a member of Bajaga i Instruktori, but he continued to occasionally work with Cukić.

These covers were released on the album Divlji med – Pesme Boba Dilana (Wild Honey – Bob Dylan Songs).

The album featured guest appearances by Teodora Bojović (on the track "U snovima"), Riblja Čorba guitarist Vidoja Božinović (on the tracks "Marina" and the cover of Rolling Stones' "(I Can't Get No) Satisfaction"), Vladimir Barjaktarević and Bora Đorđević of Riblja Čorba and Momčilo Bajagić and Žika Milenković of Bajaga i Instruktori (on "(I Can't Get No) Satisfaction").

[16] In 2007, after a four-year break, Cukić presented his new single "Kud me vetar doziva" (Where the Wind Calls Me) at Music Festival Budva, which he announced his new studio album.

The album featured several producers: Mirko Vukomanović, Vlada Negovanović, Voja Aralica, Ted Yanni, Predrag M. Milanović and Kornelije Kovač.

Like on the previous album, two bonus cover versions appeared: Azra's hit "Obrati pažnju na poslednju stvar" ("Pay Attention to the Last Tune") and a different version of Bob Dylan's "Forever Young" (as "Zauvek mlad") than the one appearing on Divlji med – Pesme Boba Dilana album.

[17] In 2014, Cukić released the compilation album Priče o ljubavi (Stories About Love), in order to celebrate 25 years of solo career.

[19] After Bulevar disbanded in 1982, Cukić started working in the Rock magazine and other Politika publications, where he published his interviews with Dire Straits, Uriah Heep, Saxon, Tina Turner, Sting, Kim Wilde, Cheap Trick, Matchbox, Yazoo, Samson, Gap Band and others.

[20] In 2013, he became the host of Radio Laguna show Nedelja veče sa Dejanom Cukićem (Sunday Evening with Dejan Cukić).

[21] In 1986, Cukić played one of the main characters in the TV drama Poslednja priča (The Last Story) directed by Miloš Petrović.

In 2011, Cukić became a contestant in the TV Pink reality show Dvor (The Castle), which caused mostly negative reactions by the rock community in Serbia.