As of 2015, the 1943 Bronze Lincoln Cent, the 1999 Wide "AM" Reverse Lincoln Cent and the 1969 S Lincoln Cent with a doubled-die obverse are some of the rarest misprinted coins. The 1982 No Mint Mark Roosevelt Dime is also an uncommon coin.
The United States made steel pennies in 1943 to save copper for the war effort. The U.S. Mint accidentally minted about 40 bronze pennies by accident, using copper coin blanks it happened to have on hand, thus creating the 1943 Bronze Lincoln Cent. This misprinted coin is extremely rare and valuable.
The 1999 Wide "AM" Reverse Lincoln Cent went into circulation after the U.S. Mint accidentally used a proof die to strike the normal circulation coins. On the reverse side of this misprinted coin, the "AM" in "AMERICA" is separated from the rest of the letters. All of the letters in "AMERICA" are supposed to be close together or touching.
On the 1969 S Lincoln Cent with a doubled-die obverse, the U.S. Mint accidentally printed a crooked copy of the Lincoln design over the original design, creating a border around it. The Secret Service confiscated many of these misprinted coins until the U.S. Mint confirmed their authenticity.
The 1982 No Mint Mark Roosevelt Dime is missing the mint mark letter for the U.S. Mint branch that printed it. This error most likely took place because the U.S. Mint used one or more nonpunched dies while making the coin.