NOVELTY - Producing a fatty acid alkyl ester comprises: (a) providing a gaseous alcohol and/or a gaseous ether, a gaseous feedstock containing transesterifiable lipids, and a solid catalyst, (b) contacting the gaseous alcohol and/or gaseous ether, gaseous feedstock, and solid catalyst, in a reactor, where the contacting results in formation of a transesterified reaction product comprising the fatty acid alkyl ester.    USE - The process is useful for producing a fatty acid alkyl ester.    ADVANTAGE - The process: utilizes catalyst that resists mechanical stress and is compatible with catalyst regeneration; occurs at higher temperatures and has potential to produce highly valued chemicals while reducing the number of process steps; provides high quality biodiesel; minimizes mass transfer limitations, low reaction rates, and separating catalyst from the product; exhibits higher through put rates-higher reaction rates, higher selectivity, superior economics, better temperature control in the reactor and smaller pressure drop and/or smaller resistance to diffusion through the particles (in a fluidized bed reactor compared to a fix bed reactor); and allows continuous use of catalyst (no need to recover or dispose).    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is also included for system for producing a fatty acid alkyl ester from alcohol and/or ether and a feedstock containing transesterifiable lipids, comprising: a heated fluidized bed reactor comprising a distributor supporting a solid catalyst; an inert fluidization gas inlet located below the distributor for producing a fluidized bed (30) of the solid catalyst above the distributor; an atomizer nozzle located above the distributor and at the bottom of the fluidized bed, where the nozzle fed an inert atomization gas and a liquid mixture of the alcohol and/or ether and the feedstock; and transesterified reaction product gas outlet located above the fluidized bed.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic view of the system.    Tube (10)    Tubular furnace (12)    Thermocouple (14)    Fluidized bed (30)    Inert cooling gas (32)