Disclosed is a method of sequentially separating and recovering one or more NGLs (129, 229) from a natural gas feedstream (3). Specifically, a raw natural gas feedstream (3) is passed through two or more NGLs separation unit (100, 200) wherein each separation unit removes one or more NGLs from the natural gas feedstream to provide a methane-rich natural gas supply (205). Each separation unit employs an adsorption media and has an adsorption step and a media regeneration step wherein the regeneration step may be operated as a batch process, a semi-continuous process, or a continuous process. One embodiment of this method provides for the use of a different regenerable adsorbent media in each separation unit.