The aim of this paper is to focus on the specificities of the creative processes in Taste Industries: industries that have connected the artistic and industrial dimensions to supply goods and services-demand for which derives not from the logic of needs and necessity, but from the logic of pleasures, tastes, ethic preferences and hedonism. These taste industries belong to the Creative Industries but, unlike scientific and technological production, they work not on the basis of cumulative knowledge (replacing goods by better quality amenities over time) but through the creation of ideas, drawings, recipes, goods and services which pass through time, and which constitute heritages. Thus, creativity works on the basis of heritages: that is, past and accumulated creativity. The paper considers how the different types of heritage (craftsmanship knowledge, creative knowledge, tastes, institutional heritage and common cultural heritage) contribute to creative process. It concludes on the double-edged effect of heritages, which while bestowing competitive advantages and favouring the development of creativity, do orient development along a given path, promoting a certain kind of creativity that may lead to lock-in effects, and build obstacles in the way of development.