Here is the full list of all 45 Exist Archive: The Other Side of the Sky trophies - there are 32 bronze, 9 silver, 3 gold and 1 platinum.
Earn all trophies aside from the Platinum Trophy.
Collect all LV 2 rewards from Speed Run.
Collect all LV 3 rewards from Speed Run.
Collect all LV 1 rewards from Speed Run.
Kanata has learned all Attack Skills.
Kanata has learned all of the party's abilities.
Clear all difficulty levels in all dungeons.
Defeat Yamatoga.
Earn a 100% exploration rate in all dungeons.
Kanata has learned 100+ different Skills.
Defeat 1,000+ Chasseur.
Earn a 100% exploration rate in 20+ different dungeons.
Raise all male characters' affection for Kanata to "Best Friend."
Kanata has learned all magic spells.
Clear all difficulty levels in 20+ different dungeons.
Save up 1,000,000AMP.
Raise all female characters' affection for Kanata to "Love."
Clear all difficulty levels in 10+ different dungeons.
Have Rejected Kanata and Rejected Ranze join your party.
Have Kagato join your party.
Beat the game having sent no party members back to Earth.
Win a battle having completed a 300+ hit chain.
Earn a 100% exploration rate in 10+ different dungeons.
Defeat 5,000+ Variants.
Collect 250+ different weapons, armors & accessories total.
Collect 150+ different weapons.
Beat the game on the "An Eternity of Time" Route.
Defeat 500+ Chasseur.
Beat the game on the "Curse of Immortality" Route.
Beat the game having sent all party members back to Earth.
Save up 500,000AMP.
Kanata has learned all Demon's Greed attacks.
Beat the game on the "Dark God Kanata" Route.
Collect 25+ different accessories.
Collect 50+ different armors.
Collect 100+ different weapons.
Collect 150+ different weapons, armors & accessories total.
Collect 15+ different accessories.
Save up 100,000AMP.
Defeat 100+ Chasseur.
Collect 25+ different armors.
Defeat 1,000+ Variants.
Win a battle having completed a 100+ hit chain.
Defeat 100+ Variants.
Win a battle having completed a 30+ hit chain.