With all the uniqueness of her voice, herdedication to the music, which is both her passion and her life, Josipa also built herown strong artistic individuality through her visual recognizability. Her hairstyles and fashion designs in which she appears, together with the accompanying make-up, usually draw considerable attention. Many of these creations, with exceptional portraits, were presented in 1998, on the photographic exhibition of Zeljko Koprolcec, which was accompanied by the presentation of a compilation CD "The best of", in the Museum of Arts and Crafts in Zagreb. For this occasion Josipa performed there in two concerts, on December 9 and 10, as a tribute to Karlo Metikos. The audience remembered her renditions of the Latin church hymn "Panis angelicus", as well as the legendary jazz hit "Do nothing till you hear from me" originally performed by Duke Ellington, for which Josipa was accompanied by the jazz musicians Bosko Petrovic and Neven Franges.

The festival performances in a painted dress or toga in the late 60-is and the early 70-is, followed by the paper-made wigs, the "ikebana" hairstyles and the spectacular performance in which she wrapped up the entire stage with her dress in the 80-is, with the pink hair color and the elegant gowns of the 90-is, to the sculpture-dress made of aluminum in the year 2000 and a turquoise hair color of the recent years - they all make an unforgettable pictures with a signature. Because of these pictures - that were once undoubtedly the object of the laughing stock and mockery and after that simply a shock or a surprise, only to be more and more appreciated over the years as an obligatory part of her style, as a sort of a brand - on the first ceremony of the Croatian fashion Oscar awards in 2004, Josipa took home a well-deserved award in the category of the best dressed female singer. The remark that Josipa said on this occasion, about how it seems she finally came into fashion, got confirmed two years later, when she won the same award for the second time.