Here is the full list of all 50 LOST SPHEAR trophies - there are 39 bronze, 8 silver, 2 gold and 1 platinum.
All trophies earned.
Defeated Dark Ruin.
Defeated Eclipse.
Ate 100 different foods.
Used all paradigm drives.
Money spent reached 500,000G.
Money acquired reached 1,000,000G.
Defeated 300 monsters with Scan.
Landed on the moon.
Used Last Elixir.
Ate Moon Tripe.
Ate Fruit Jelly.
Ate Clam Soup.
Obtained Isolation Spritnite.
Obtained Raggys' Spritnite.
Obtained Tyranny Spritnite.
Obtained Chrono Spritnite.
Obtained Sunlight Spritnite.
Obtained Rainbow Spritnite.
Obtained Moon's Soul.
Obtained War Maiden Spritnite.
Total shop sales reached 100,000G.
Sublimated spritnite to max level.
Created spritnite 50 times.
Returned from the Fade Realm.
Turned into rooster.
Defeated Krom.
Winger acquired.
Caused 10 sublimations.
Made 30 consecutive hits.
Made 100 critical hits.
Royal Capital Marche restored.
Unlocked all spritnite columns.
Caused 1,000 or more damage with 1 attack.
Caused 500 or more damage with 1 attack.
Created 10 artifacts.
Sea restored.
Went fishing 30 times.
Night and day restored.
In-battle move distance reached 1000D.
Made 10 evasions.
Vulcosuit acquired.
Made 10 Machine Kills.
Collected from Glow Spots 100 times.
Made 10 Momentum Kills.
Ship acquired.
Made 15 weak-spot attacks.
Activated Momentum Mode 10 times.
Damaged 3 or more monsters with 1 attack.
Activated Momentum Mode 4 times in 1 battle.