In terms of typography, the movie posters follow the lead of the musical, see for example the album cover from 1966, and prominently feature a slanted Caruso Roxy.
Source: filmartgallery.comFilm Art Gallery. License: All Rights Reserved.
Italian poster (27″×41″) with artwork by Tino Avelli and Estro for the tagline (“a girl who wanted to be loved”) Credits additionally use Venus.
The primary text on this Belgian poster (14″×21.5″) doesn’t make direct use of Roxy. It’s rather lettering based on Victor Caruso’s typeface. The small print in blue uses Univers Condensed.