The exigency of electromagnetic shielding is derived from the electromagnetic pollution caused by the widespread use of electronic devices. Electromagnetic waves from innumerable electrical sources radiate in the atmosphere and generate electromagnetic interference (EMI). Such EMI can interrupt other instruments and threaten human health. Therefore, future designs of electronic devices, regardless of their size and use, necessitate advanced electromagnetic shielding materials and techniques that can limit or completely block the transmission of electromagnetic waves in the atmosphere. The purpose of this review is to investigate the use of polymer-based composites for EMI shielding and study their configurations. The objectives of this study and the societal and environmental impacts of electromagnetic waves are discussed in detail.The available reports, the worldwide contribution by researchers in the field, the limitations of the available materials, and the inventions required have directed our interest toward this area of research. The review summarizes EMI shielding cognizance, current research gaps, and future recommendations.