Nine beautifully crafted banknotes issued from 1863 to 1929 by various banks with the federal charter to do so. The first nation-wide banknotes backed by the US government bonds. Both their aesthetics and size were reduced in 1930, when format similar to today's US Dollars was introduced.
Before 1863 bank notes would be issued by individual private banks without any regulatory supervision, so you'd accept them at your own risk. The First National Bank notes would be way safer to use, as were guaranteed by the US government. 
These banknotes were retired from use in 1935 and Federal Reserve Notes became the only legal tender in the USA. Since then they became quite scarce - the originals of these (large size, pre-1930), depending on their rarity go for anywhere between $5000 and $160,000 for a single note!
The set includes the following denominations: 1, 2, 5, 10, 20, 50, 100, 500, 10000.
 
Note: The National Bank Notes are not legal tender in the USA. It's impossible to exchange them for today's currency in a bank, or pay with them for goods or services. These banknotes haven't been a legal currency since 1935.