Additive manufacturing (AM), also known as 3D printing, has been used for rapid prototyping due to its ability to produce parts with complex geometries from computer-aided design files. Currently, polymers and metals are the most commonly used materials for AM. However, ceramic materials have unique mechanical properties such as strength, corrosion resistance, and temperature resistance. This paper provides a review of recent AM techniques for ceramics such as extrusion-based AM, the mechanical properties of additively manufactured ceramics, and the applications of ceramics in various industries, including aerospace, automotive, energy, electronics, and medical. A detailed overview of binder-jetting, laser-assisted processes, laminated object manufacturing (LOM), and material extrusion-based 3D printing is presented. Finally, the challenges and opportunities in AM of ceramics are identified.