Glass-based materials are renowned for their application prospects in neutron and gamma-ray shielding, focusing on their dual functionality of offering radiation protection while permitting visual monitoring. These materials stand out for their excellent chemical durability, resilience against radiation-induced deterioration, high refractive indices, and superior light transmission characteristics. In this paper, the initial sections are delved into the shielding mechanisms for neutron and gamma-ray radiation, employing Monte Carlo simulations to elucidate the design principles and development strategies of these shielding materials. It is complemented by a comprehensive review of the current state of research in glass-based shielding materials. Given the environmental and health concerns associated with lead-based glasses, lead glass is being abandoned. The paper highlights the predominance of silicate, borate, and borosilicate glasses in the industry. It is demonstrated that the addition of heavy metal oxides (such as Bi₂O₃ and BaO) and rare earth elements (like La and Gd) to the glass matrix can significantly increase the mass attenuation coefficient (MAC), reduce the half-value layer (HLV), and thereby enhance shielding effectiveness. Notably, the integration of these dopants may negatively impact the mechanical properties of materials. This paper also includes a comparison of glass-based shielding materials with alternative shielding solutions. Enhancing the multifaceted performance of glass-based shielding materials, alongside the advancement of eco-friendly and smart shielding solutions, will constitute a pivotal area of future research.