Not with achievements. Achievements have nothing to do with luck.
A better idea would be +1 luck everytime you roll 99 at a endboss loot.
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A) I never mentioned the pentameld. The comment I made was directed solely at your suggestion of an atma buff post animus.
B) The "never" that I was referring to was not a never in the whole of time, but yet, the time that a player is playing the game. If a player only plays this game for a year. and quits in frustration, then they never got it.
You don't like pentameld, let's use an example closer to home.
Roughly 11% of the relics "possible to earn" were earned by the end of 1.0.
If you assumed 1 relic per character and no more, that number is more like 7.5%.
Why so low?
Hamlet stage was an RNG roadblock. It may have been just as easy, but it often took longer to get 1 than some lucky people can get 12 atma.
People whined it was too difficult, and guess what? they removed it as a requirement, but they kept the beastcoins, the ring/finger/other components, each with their own conditions, including some rng.
Then they removed all of that in 2.0, and we ended up with a penalty for such an easy zenith to earn: It is now not a top tier weapon.
If you want easier, be careful what you ask for. They may nerf relics thanks to your inability to patiently earn, OR ignore and move on to just as accessable future content.
I think that's a bit of an odd statement. This is an (MMO)RPG, where random events/situations are part of the very core of the genre itself. That's like going into a shooter game, disliking the action aspect of it, and claiming it should remove that aspect of it (or something ridiculous like that). You're in the wrong genre of game if you feel RNG shouldn't be a part of the RPG game you play.
I propose the following. A new tab under Character > Achievement > Fame
Here you can spend the achievement points you've earned to gain traits. These traits are mainly there affects our luck rate in the world of Eorza.
These traits allow for the following suggestions OP has mentioned.
Open world.
Increases Monster Drop rate by 2%/4%/6%
Increase Monster Gil Drop rate by 2x
Increase Monster HQ Drop rate by 1%/2%/3%
Increase FATE Seal and Gil reward rate by 2x
Increase Leve Treasure Coffer Appearance Chance.
Increase Beast Tribe Allagan reward by 2x
Increase Treasure Hunt minion Reward rate by 2%
Increase Chance: Rare Retainer Ventures Rewards
Increase Gathering HQ rate success chance
Increase Crafting HQ rate success chance
Increase Rare Transmutation Materia success (Materia IV/V)
Dungeon, Raid, and Trials
Increase Rare Coffer Drop appearance: 2% chance of being rewarded the 2nd and 3rd treasure coffer in raids and trials. (Ex: Acheron's 3rd Coffer in CT and the 2nd and 3rd Coffer in Levi Extreme)
Increase Monster Gil Drop: .25x/.50x
PvP
???
There can also be other more unique implementation but for now this is the idea I propose that can tackle luck of low drop rate %.
It improves drop rate? Here and now I declare all other stats than luck dumpstats!