High-impact incidents such as blast trauma, accidents, and combat injuries during military conflicts cause multi-tissue damage, resulting in loss of organs or morbidity. Current treatments in tissue engineering (TE) involve a combination of cells, scaffolds of natural and synthetic biomaterials, and biologically active molecules to repair or regenerate damaged tissues. However, the development of functional three-dimensional (3D) tissue constructs is beyond our reach. Additive manufacturing (AM) and 3D printing (3DP) are pivotal technologies in Industry 5.0, which focuses on sustainable and resilient production. It offers novel approaches in engineering for research and industry. AM helps in (TE) by utilizing mathematical algorithms for a layer-by-layer 3D construct with precision. It improves sustainability and enhances the efficiency of prototype development for various tissues or organs. The customization potential, high-complexity components, and ability to create complex geometries make AM more compatible for (TE) applications. In this chapter, we have emphasized AM algorithms in designing 3D organs such as liver, kidney, heart, bone, and muscle. We have also highlighted the development in the realm of bioinks for cell-laden constructs, drug delivery systems, and biosensors for personalized medicine.