Collectible coins encompass a wide range of numismatic items that are valued for their rarity, historical significance, or unique characteristics. The United States has produced various collectible coins, including the Ten Dollar Gold piece, often referred to as the Eagle. The Braided Hair Cents, minted from 1839 to 1857, are notable for their distinctive design featuring a braided hair portrait of Liberty, making them popular among collectors for their artistry and historical relevance.