Mintage Records To Determine Rarity

1883 V nickels w/o cents were hoarded. Even though it's mintage is lower than the w/ cents version, the w/ cents had a lower survivability, resulting in higher prices in the mid to upper grades.

How about last year? 1909-S IHC have low mintage but high survival compared to the 1877.

Not sure if you mean rarity in ability to find one or rarity in value. Many problems with your question. For example no one really knows how many of a certain coin is left in existance after a long period of time. Then there is the hoarding situation as noted. Example of that is the low mintage of the 31S Lincoln Cent but the low value since so many hoarded those coins. In the past many people used coins for throwing in wishing wells, melting to make jewlery, placed on RR tracks for fun, pressed into something for a novelty, melted for the metal content, placed in concrete for good luck, thrown in rivers and lakes and many, many more possible distructive methods of getting rid of coins. Also, note the many coins with low mintages that just are not popular for some reason and not sure why. The 1931D Mercury dime is an example of that. 4th Lowest mintage in the entire series and yet not much value.
Then to there is the error coins. Again, no one knows how many of a certain type are out there so the value goes up and down as they are discovered. With error coins rarity is apparently not a good method to determine anything. For example there are probably Double Dies of Lincoln Cents for almost every year. Noticable in "Looking Through Lincoln Cents" by https://www.coppercoins.com Yet it seams like the entire world wants the 55 Double Die Cent and the heck with all the others.

The final years of a withdrawn coin denomination or series will also be much scarcer than official mintage figures indicate, because most of the newly minted coins sitting around in the vaults waiting for distribution would go straight back into the melting pots. The USA has two extreme examples of this phenomenon: the 1933 gold $20 (official mintage: 445,000 - surviving specimens: less than 12) and the 1964 Peace dollar (official mintage: 316,076 - surviving specimens: zero).

There are other examples worldwide. The Hong Kong 1941 1 cent had an official mintage of 5 million. These coins were struck in London and split into three shipments bound for the Pacific. But it was wartime - one shipment was sunk, the second was captured by the Japanese (who promptly melted them down for war material). The third never left Britain; it was sent back to the melting pot after the Japanese captured the colony. Only a handful of coins, souvenired by either the Japanese or British smelter workers, survived.

A low survival rate (and therefore rarity) does not always translate into a higher price. A classic example from down under: the official mintages for Australian 20¢ coins for 1983 and 1984 were 55.1 million and 27.8 million respectively - judging by mintages alone, they should be common as dirt. But the entire mintage languished in the vaults for awhile, before they were melted down and recycled - apparently, only one box of 1000 coins from each date were spared, as well as the ones issued in the mint sets (numbers of sets issued were 155,000 and 150,000 respectively). Yet the prices for these coins are little different to those with much higher survival rates.