This review paper systematically classifies additive manufacturing (AM) or 3D printing techniques according to American Society for Testing and Materials (ASTM) standards, which categorize these technologies into seven main groups: vat photopolymerization, material extrusion, powder-bed fusion, material jetting (MJT), binder jetting, direct energy deposition, and sheet lamination. Each of these categories is further subdivided into specific subcategories, providing a comprehensive framework to understand the diverse landscape of AM technologies. By leveraging these ASTM standards, our review aims to offer a structured and detailed overview of the capabilities and advancements within each AM technique. Recent studies and developments are incorporated to highlight the evolution of these technologies, showcasing innovations that have improved precision, material compatibility, and efficiency in manufacturing processes. Furthermore, the review critically examines the materials used, advantages, and limitations associated with each technique, exploring their applications across various industries such as aerospace, automotive, healthcare, defense, and consumer goods.