The paper presents an overview of experimental studies on the influence of mesh coatings of heat-releasing elements on heat transfer enhancement under various conditions: pool boiling of liquid, evaporation and boiling in thin horizontal layers of liquid, in falling films of liquid, and in flows in channels. Studies on the topic are discussed in detail, from key works with mesh coatings to latter-day research using gradient mesh coatings, combinations of mesh coating with other kinds of modifications, or application of additive manufacturing (3D printing). Models that have been developed specifically for mesh coatings for calculation of the heat transfer coefficient and critical heat flux and are available in the literature are presented. The heat transfer intensification data obtained for the considered mesh coatings are compared with data for up-to-date highly efficient micro-nano-structured surfaces.