Supramolecular self‐assembled structures, based on protein−protein interactions, have garnered widespread interest as prospective functional bionanomaterials. Possessing unique properties, proteins have been widely investigated in the last years, due to their capability to form a diversity of natural and artificially designed zero‐, one‐, two‐ and three‐dimensional assemblies. These structures laid the basis for bionanomaterials design, including films, foams, gels, and others, with widespread applications in electronics, biomedicine, and environmental sciences. In this context, the present review is devoted to revealing the diversity of protein assemblies and related bionanomaterials. Special interest is paid to recent advances and new trends in functional amyloids and fibrillar silk‐based self‐assembling architectures, as well as their current and potential applications. We emphasize the protein nanostructures’ diversity for the future design of functional protein‐based materials.