This article reviews the flexible robotic surgery and navigation technologies that are currently available and under research development, in particular for transoral robotic surgery, in both broad and narrow senses. The clinical background, classifications, associated biomedical robotics applications, and surgical outcomes are illustrated in this new paradigm of minimally invasive surgery. The state-of-the-art robotic and navigation systems for transoral procedures are reviewed by identifying their key properties and considerations. The use of different materials and actuation methods by current robotic systems offers various movements for different purposes, and their characteristics are compared. The future research trends of robotic and navigation systems for transoral procedures are discussed in terms of emerging new material, actuation, and sensing technologies.