The band consists of a strong wind and horn section accompanied by a guitarist, a pianist, a bassist, and a drummer. When presenting the album Depeched and its covers of music by Radiohead and some other bands live in concert, the band is sometimes also joined by vocalists and some additional instrumentalists. Big Band KK has collaborated with the singer and Ray Charles music interpreter Uroš Perič, appearing with him in concert at Križanke. Another curious collaboration was the group's appearance on the Nuked Festival, where it shared the stage with the pop band Zebra Dots. The Big Band KK cultural association also organises workshops on musical improvisation.
Even before the Depeched album put it in the spotlight, Big Band KK had played on various festivals around Slovenia, such as the Lent Festival and Trnfest, and was also hosted on festivals in neighbouring countries (Hungary, Croatia). The band's been performing concerts regularly in its home region and for a time also organised an annual festival for Slovene big bands called Big Band Fest. Its gig on the stage of Gajo Jazz Club was even recorded by the Slovene national television. After the Depeched album it has also – aside from the aforementioned appearances – played on Rock Otočec, Bled Festival, and on some smaller events.
In 2011, the Big Band KK Cultural Association was a partner in the international project "Bigband Around Europe", which received funding from the Culture Programme (2007–2013) of the European Commission. The project was lead by the Hungarian group ThoRe-Music Kereskedelmi és Szolgáltató Kft. and included the partner organisation Orchestre d'Harmonie de Nangis from France.
In 2015, they've organised a miini international jazz festival together with the Krško Culture House.
The soloists are the following: Dominik Kranjčan, Tomaž Gajšt, Aleš Suša and Antonio Geček (all of them also playing in the RTV Slovenia Big Band); Rok Lopatič and Lovro Ravbar (both coming from the band LeeLooJamais; and Janez Gabrič (Laibach), Miha Koretič, Bojan Zupančič and Darko Sedak Benčič. The vocalists are Tadeja Molan, Miha Nemanič, Mary Crnković Pilaš and Anja Kramar.