The London, Brighton and South Coast Railway (LB&SCR) E2 Class was a class of 0-6-0T steam locomotives designed by Lawson Billinton, intended for shunting and short distance freight trains. Ten examples were built between 1913 and 1916, and all were withdrawn from service and scrapped between 1961 and 1963. None were preserved.

This class of locomotive is famous for being the basis of Thomas The Tank Engine.