Here is the full list of all 44 Trials of Mana achievements. It takes around 50-60 hours to unlock all of the achievements on Windows.
Stop the end of the world.
Become a master cleric.
Become a master magician.
Become a master swordsman.
Complete Duran's story.
Complete Angela's story.
Complete Charlotte's story.
Complete Chapter 6.
Defeat Mondoragon.
Accumulate at least 500,000 lucre.
Learn 20 abilities as any character.
Max out magic pot level.
Open 200 treasure boxes.
Complete Chapter 5.
Complete Chapter 4.
First ride on Flammie.
Complete Chapter 3.
Accumulate at least 100,000 lucre.
First time learning a companion's chain ability.
First time learning an ability.
Complete Chapter 2.
First ride on Vuscav.
Open 100 treasure boxes.
First class switch.
Complete Chapter 1.
First cannon ride.
Purchase nitromyte for the listed price.
First encounter with Li'l Cactus.
First time learning a chain ability from an unexpected acquaintance.
First time planting a seed.
Obtain all achievements.
Play with all six main characters.
Complete Kevin's story.
Complete Hawkeye's story.
Complete Riesz's story.
Learn all abilities as any character.
Defeat Anise on hard.
Defeat Dark Lich.
Defeat Archdemon.
Defeat Black Rabite.
Become a master fighter.
Become a master thief.
Become a master guard.
Find Li'l Cactus in all possible areas.