The design and application of metamaterials specifically engineered to control wave propagation, with a focus on cloaking-based materials holds significant interest in many fields. These innovative materials manipulate wave paths to render a centrally placed object invisible. The foundational mechanisms behind this phenomenon including transformation optics, and electromagnetically induced transparency are discussed in this chapter. A comprehensive explanation of cloaking metamaterials is presented, highlighting their diverse applications across multiple fields. In naval and aeronautics, radar and acoustic invisibility using metamaterials offers significant advancements in stealth technology. In urban environments, using these materials to cancel out noise from the outside improves living conditions, reducing ambient noise levels. Furthermore, a focus is placed on the use of metamaterials for detecting and mitigating seismic waves, an emerging area that promises enhanced earthquake resilience in infrastructure. Thermal shielding capabilities of cloaking materials displayed their potential in protecting against extreme heat or preserving sensitive equipment from temperature variations. Recent advancements in cloaking materials highlight how the latest developments in material science and digital modeling are expanding the capabilities and efficiency of wave manipulating metamaterials. By integrating theoretical models with practical applications, this discussion solidifies the transformative potential of metamaterials in revolutionizing how we manipulate and control physical phenomena.