Harris brand National Park Quarters Folder. Collect Your Piece of America Today! Coins for All 50 States, DC, and U.S. Territories. Check Your Pocket Change! Five new National Park quarters will be minted each year from 2010 through 2020, with a final one issued in 2021. That??s 56 unique quarters??Collect Them All! 120 Openings, holds both P&D Minted coins.