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