Collectible coins refer to numismatic items that are sought after by collectors for their historical significance, rarity, condition, and sometimes their intrinsic metal value. In the context of the United States, coins like the Ten Dollar gold pieces and Braided Hair Cents, minted in the mid-19th century, have been prominent among collectors. The Ten Dollar coin, particularly from the 1851 minting year, is known for its distinctive design and historical importance. Braided Hair Cents, minted from 1839 to 1857, feature a unique obverse design and are notable for their relatively short production span, making them appealing to collectors.