This chapter delves into the advancements and applications of elastomeric-based 3D and 4D printable composite materials in engineering. Elastomeric materials, celebrated for their flexibility, resilience, and capacity to revert to their original shape, are increasingly utilized in additive manufacturing for producing highly customizable and high-performance components. The integration of 4D printing technology further enhances these materials by enabling them to undergo shape transformations in response to external stimuli such as light, temperature, or moisture. This capability is particularly advantageous for engineering applications requiring adaptive and responsive solutions. The chapter provides a comprehensive overview of the principles, properties, and manufacturing processes of elastomeric-based composites. It highlights their use in various fields, including aerospace, automotive, and biomedical engineering, where their unique characteristics are leveraged to create soft robotics, adaptive structures, and innovative medical devices. The discussion includes insights into the design and fabrication techniques that enable the creation of these advanced materials and addresses the challenges associated with their adoption, such as material costs, processing complexities, and scalability. By exploring current research and practical applications, the chapter aims to illustrate the transformative potential of elastomeric-based 3D and 4D printable materials in engineering. It underscores their role in advancing the field and suggests future directions for research to overcome existing challenges and expand their utility across diverse engineering domains.