A list of rare pennies you should hold onto... especially 1943 pennies. Other rare pennies discussed here include the 1792 penny, 1793 penny, 1844 penny, 1856 penny, 1877 penny, 1909 penny, 1924 penny, 1936 penny, 1943 penny, 1955 penny, 1974 penny, and other silver pennies.