Ocular surgery demands exceptional precision due to the eye's delicate anatomy, where even minor errors can lead to severe complications, especially for novice surgeons. This highlights the need to have enhanced training and skill development methods. The integration of versatile AI/Robotic technologies enhances both surgical precision and training. These tools not only assist surgeons during procedures but also provide trainees with a safe, realistic training environment for skill development and personalized feedback. This paper aims to provide a comprehensive review from multiple perspectives. For ophthalmologists, it explores the impact of AI and robotics in improving clinical outcomes and introducing cutting-edge solutions in ophthalmic care. For control and robotic engineers, it offers an in-depth technical evaluation of the latest applications in ophthalmic surgery and training, with a focus on control architectures and system design. Furthermore, by identifying domains where commercial ophthalmic devices have gained traction, the review outlines emerging market opportunities for business professionals. Through this comprehensive overview, promising directions for future research and development are identified, which can serve as valuable guidance for researchers interested in this field.