There are more than you would think, at least more than I would think. Especially among gold. Gold is the only ones I can look up. Data is as of 2006. 1804 $2.50 - 13 star reverse 1854-S $2.50 1870-S $3 1798 $5 - Small Eagle 1797 $5 - 16 star 1797 $5 - 15 star 1822 $5 - Left, large diameter 1831 $5 - both large & small 5 D 1854-S $5 - no motto 1858-S $5 - no motto 1861-S - $5 - no motto 1866-S $5 - no motto 1866-S $5 - motto 1867-S $5 - motto 1870-S $5 - motto 1872-CC $5 - motto 1874-S $5 - motto 1875 $5 1841-O $10 1855-S $10 1857-O $10 1858-S $10 1859-S $10 1862-S $10 1864-S $10 1867-S $10 1868-S $10 1868 $10 1870-CC $10 1871-S $10 1872-CC $10 1873-CC $10 1874-S $10 1875 $10 1876 $10 1876-S $10 1876-CC $10 1877-CC $10 1854-O $20 1856-O $20 1860-O $20 1861-S $20 - paquet 1866-S $20 - no motto 1870-CC $20
Although it isn't unknown, the 1884s Morgan is extremely expensive in MS--a total conditional rarity.
First one I thought of was the 1804 cent, but there's a problem. While the EAC Condition Census does not recognize any MS 1804 cents, the TPG's have slabbed one or two. (And those coins are NOT the top pieces in the EAC census.)
Anyone who has access to TPG pop reports can look up copper, silver, & nickel coins. But it'll take a while. Seems to me there are a few that I have read about over the years but I can't recall them off the top of my head.
wasn't that a proof only issue ? I excluded silly stuff that wasn't ever issued. It seems every regular issue business strike copper coin is known in mint state ( even the 1804 cent) using PCGS and NGC counts. I'm not including every little sub-variety and die marriage. It's kind of amazing that 1790's stuff is still there in MS....and sometimes gem like that 1794 MS-66 dollar and I think there is a MS-65 chain cent !