Artificial disc replacements (ADRS) are configured for implantation using a lateral, anterior-lateral, or posterior-lateral approach. A first component having a first segment resides in the disc space for articulation purposes, with a second segment adapted for fixation to the lateral outer surface of one of the vertebral bodies. A second component having a first segment resides in the disc space for articulation purposes, with a second segment adapted for fixation to the lateral outer surface of the other vertebral body. The first segments of the two components may articulate against one another without a spacer, or a spacer forming a mobile bearing may be disposed between the first segments of the two components. In the preferred embodiment, one or both of the two components are in the form of bent plates such that the second segment is positioned against a lateral wall for fixation. In the preferred embodiment, screws are used through the second segment and into a vertebral body. The screws are located in different vertical locations, and may diverge or converge vertically or horizontally to resist pull-out.