Here is the full list of all 96 Final Fantasy V (Old ver.) achievements. It takes around 60-80 hours to unlock all of the achievements on Windows.
You earned all achievements.
All four characters mastered every job.
All four characters mastered the necromancer job.
You pinned your hopes on Gilgamesh.
You completed the entire Bestiary.
You cleared the Cloister of the Dead.
You defeated Enuo.
You raised Bartz to level 99.
You raised Lenna to level 99.
You raised Galuf to level 99.
You raised Faris to level 99.
You raised Bartz to level 75.
You raised Lenna to level 75.
You raised Galuf to level 75.
You raised Faris to level 75.
You opened all the treasure chests.
You defeated Omega Mk.II.
You defeated Neo Shinryu.
You raised Bartz to level 50.
You raised Lenna to level 50.
You raised Galuf to level 50.
You raised Faris to level 50.
"You defeated Neo Exdeath without anyone in your party dying."
You defeated Neo Exdeath.
You escaped from the final battle.
You defeated Shinryu.
All four characters mastered the mime job.
All four characters mastered the gladiator job.
All four characters mastered the cannoneer job.
All four characters mastered the red mage job.
All four characters mastered the summoner job.
All four characters mastered the blue mage job.
All four characters mastered the dancer job.
All four characters mastered the beastmaster job.
All four characters mastered the chemist job.
All four characters mastered the bard job.
All four characters mastered the geomancer job.
All four characters mastered the time mage job.
All four characters mastered the black mage job.
You defeated 2,000 enemies.
All four characters mastered the white mage job.
All four characters mastered the mystic knight job.
All four characters mastered the berserker job.
All four characters mastered the thief job.
All four characters mastered the dragoon job.
All four characters mastered the monk job.
All four characters mastered the knight job.
All four characters mastered the samurai job.
All four characters mastered the oracle job.
All four characters mastered the ninja job.
"You defeated Exdeath's servants--assassins from another dimension."
You defeated Omega.
You obtained the twelve legendary weapons.
All four characters mastered the ranger job.
You defeated the mime Gogo.
You met the dwarves.
You completed 60% of the Bestiary.
You mastered the piano by playing all the pianos.
"You got the four tablets for unsealing the legendary weapons."
You reunited with Ghido in the third world.
You defeated Exdeath.
You earned 500,000 gil.
You defeated Gilgamesh again.
You defeated 1,000 enemies.
Krile inherited Galuf's power.
You earned 200,000 gil.
You obtained a submarine.
You raised Galuf to level 25.
You mastered lupine attack.
You met a moogle.
You raised Bartz to level 25.
You completed 30% of the Bestiary.
You raised Faris to level 25.
You raised Lenna to level 25.
You defeated Gilgamesh.
You arrived in Galuf's world.
You obtained a job from the earth crystal.
You obtained an airship.
You discovered Faris's true identity.
You earned 50,000 gil.
You obtained a job from the fire crystal.
You met Cid.
You earned 10,000 gil.
You defeated 300 enemies.
You obtained a job from the water crystal.
You completed 10% of the Bestiary.
You obtained a wind drake.
You raised Faris to level 10.
You raised Galuf to level 10.
You raised Lenna to level 10.
You raised Bartz to level 10.
You found out Faris is a woman.
You defeated 100 enemies.
You obtained a job from the wind crystal.
You obtained the pirate ship.
You played a new game.