Cell membrane asymmetry is a common structural feature of all biological cells. Researchers have tried for decades to better study its formation and its function in membrane-regulated phenomena. Especially, there has been increasing interest in developing synthetic asymmetric membrane models in the laboratory, with the aim of studying basic physical-chemistry properties that may be correlated to relevant biological function. The present article aims at summarizing the main presented approaches to prepare asymmetric membranes, which are most often made from lipids, polymers, or a combination of both.