Collectible coins encompass a variety of types, including historical, commemorative, and error coins, with popularity driven by rarity, demand, and condition. The One Dollar coin in the United States, produced in various designs, includes notable issues like the Susan B. Anthony and Sacagawea dollars. Braided Hair Cents, minted in 1842 at the Philadelphia Mint, are part of the large cent series and feature an intricate design of Liberty with braided hair, making them highly sought after by collectors. The value of such coins can vary significantly based on minting errors, rarity, and market trends.