The recent advancements in robotic manipulation and surgical precision have shown significant progress, particularly in the areas of magnetic manipulation and motion compensation in medical procedures. In the realm of robotic magnetic manipulation, there is a notable shift towards developing unified frameworks that integrate dynamics and navigation constraints, enabling more precise and robust control of internal devices. This approach is particularly valuable in minimally invasive procedures like capsule endoscopy, where the ability to navigate complex environments while avoiding sensitive tissues is crucial. The integration of dynamic programming in redundancy resolution for manipulators is also advancing, with a focus on real-time adjustments and path planning that consider both immediate and future constraints. This development is essential for enhancing the efficiency and reliability of redundant manipulators in various industrial and medical applications. Additionally, the field of autonomous robotic surgery is seeing innovations in motion compensation, especially in subretinal injections where real-time tracking and compensation for physiological movements are critical for maintaining precision and safety. These advancements collectively underscore a trend towards more integrated, dynamic, and real-time adaptable systems in robotic manipulation and surgical robotics.