Get the best deals on Draped Bust US Early Dollar Coins 1794-1804 when you shop the largest online selection at eBay.com. When one thinks about rare and valuable coins from the United States often one that comes to mind is the 1804 Draped Bust Silver Dollar. 10. Copper Pennies (1957-1981) Before 1982, American pennies were made of 95% copper and are worth more now than their one cent face.