The development of novel biomaterials able to control cell activities and direct their fate is warranted for engineering functional biological tissues, advanced cell culture systems, single-cell diagnosis as well as for cell sorting and differentiation. It is well established that crosstalk at the cell–material interface occurs and this has a profound influence on cell behaviour. However, the complete deciphering of the cell–material communication code is still far away. A variety of material surface properties have been reported to affect the strength and the nature of the cell–material interactions, including biological cues, topography and mechanical properties. Novel experimental evidence bears out the hypothesis that these three different signals participate in the same material–cytoskeleton crosstalk pathway via adhesion plaque formation dynamics. In this review, we present the relevant findings on material-induced cell response along with the description of cell behaviour when exposed to arrays of signals—biochemical, topographical and mechanical. Finally, with the aid of literature data, we attempt to draw unifying elements of the material–cytoskeleton–cell fate chain.