Intervertebral prosthetic systems, devices, and associated methods are provided. The present disclosure provides top and bottom endplates that engage the lateral walls of the vertebral bodies for stability and incorporate a compliant core, ball-and-socket core, fusion-cage core, or any other suitable type of motion-preserving or fusion cores. The endplate designs allow insertion through a unilateral approach yet still have engagement on both sides of the vertebral body to provide stability and reduce the risk of subsidence. In some instances, saddle style endplates are inserted and then rotated to engage the lateral walls of the vertebral bodies. In other instances, hinged style endplates are inserted in a first orientation and then at least one end portion is pivoted to a second orientation so that the endplates engage the lateral walls of the vertebral bodies.