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