Collectible coins include various types such as numismatic coins, bullion coins, commemorative coins, and error coins. Numismatic coins are valued for their rarity, historical significance, and condition, while bullion coins are valued primarily for their metal content, typically gold or silver. Commemorative coins are issued to honor specific events or individuals, and error coins feature minting mistakes that can increase their value among collectors. In the United States, collectible coins often include issues from the U.S. Mint, featuring iconic designs and historical themes.