Depositing and obtaining a liquid film of uniform thickness is a problem integral to numerous applications in the multibillion-dollar coatings industry. Film thickness is determined by the interplay of capillary leveling, Marangoni flows, evaporation, and various other phenomena. Applications often demand multilayer films where each layer has distinct properties, and this gives rise to additional challenges due to the presence of multiple components. This talk will provide an overview of these challenges and describe recent advances in our fundamental understanding of the physical mechanisms underlying film-thickness nonuniformities in multilayer, multicomponent liquid-film coatings.