Magnetically actuated microrobots have gained significant attention due to their small size, untethered control, and rapid response capabilities. This survey provides a comprehensive overview of recent developments in magnetic microrobots, focusing on materials, propulsion mechanisms, design strategies, fabrication techniques, and applications in micro-/nano-manipulation. The exploration of magnetic materials, biosafety considerations, and propulsion methods forms the foundation for the diverse designs discussed. The paper delves into various design categories, including helical, surface, ciliary, scaffold, and biohybrid microrobots, each demonstrating unique capabilities. Various fabrication techniques, such as direct laser writing, glancing angle deposition, biotemplating synthesis, template-assisted electrochemical deposition, and magnetic self-assembly, are examined for their contributions to the realization of magnetic microrobots. The potential impact of magnetic microrobots across multidisciplinary domains, including drug delivery, minimally invasive surgery, cell manipulation, and environmental remediation, is presented. The review highlights current challenges, hurdles to overcome, and future directions in magnetic microrobot research across different fields.Magnetically actuated microrobots have gained significant attention due to their small size, untethered control, and rapid response capabilities. This survey provides a comprehensive overview of recent developments in magnetic microrobots, focusing on materials, propulsion mechanisms, design strategies, fabrication techniques, and applications in micro-/nano-manipulation. The exploration of magnetic materials, biosafety considerations, and propulsion methods forms the foundation for the diverse designs discussed. The paper delves into various design categories, including helical, surface, ciliary, scaffold, and biohybrid microrobots, each demonstrating unique capabilities. Various fabrication techniques, such as direct laser writing, glancing angle deposition, biotemplating synthesis, template-assisted electrochemical deposition, and magnetic self-assembly, are examined for their contributions to the realization of magnetic microrobots. The potential impact of magnetic microrobots across multidisciplinary domains, including drug delivery, minimally invasive surgery, cell manipulation, and environmental remediation, is presented. The review highlights current challenges, hurdles to overcome, and future directions in magnetic microrobot research across different fields.