Designs of total elbow arthroplasty have been evolving with clinical experiences. Newer implants are expected to resolve current limitations and improve long term outcomes. This review article focuses on the basic knowledge of unlinked and convertible total elbow arthroplasty. There have been a variety of designs of unlinked total elbow prostheses. Some implants are still used in the market, while others are no longer commercially available. Modified and newer designs include more congruent contact surface, stemmed implant, and radiocapitellar arthroplasty. Two convertible elbow prostheses have been developed, and one implant is currently available in Korea. Conversion from an unlinked to a linked mode is performed by adding a linking cap. Unlinked total elbow arthroplasty, which restores native elbow kinematics, has a biomechanical rationale of lowering polyethylene wear and loosening of implants. It can be indicated in younger and higher demand patients, who have adequate bone stock and soft tissues. Convertible total elbow arthroplasty broadens implant selection and simplifies revision surgery. These newer prostheses possibly improve the long term outcomes and resolve disadvantages of linked prostheses in total elbow arthroplasty.