Here is the full list of all 46 Hyperdimension Neptunia trophies - there are 34 bronze, 8 silver, 3 gold and 1 platinum.
You've been diagnosed with Neptunia.
Started your journey in Gamindustri.
Created an original Combo.
You used your synthesized item during battle.
Purchased something at the Shop.
Used Explore to advance the story.
Arrived at Leanbox.
Arrived at Lastation.
Arrived at Lowee.
Returned to Planeptune.
Changed your accessory.
Changed your processor unit.
Changed your formation.
Fought in battle as a CPU.
Nisa joined the party.
Gust joined the party.
Connected Combos using Combo Link.
Destroyed an obstacle.
Lured out a monster.
Found a hidden treasure.
Had your first battle on your new journey.
Cleared the tutorial dungeon.
Encountered IF.
Neptune returns to the party.
Obtained the Key Fragment in Leanbox.
But it was the best demo ever.
Obtained the Key Fragment in Lastation.
Defeated the monster in town.
Obtained the Key Fragment in Lowee.
Released Histoire's seal.
The truth about Arfoire is revealed.
Assembled the legendary weapon, Trinity Blade.
Assembled the legendary weapon, Wisdom Bow.
Assembled the legendary weapon, Dual Revolver.
Assembled the legendary weapon, Trust Spear.
Cleared the main scenario.
Been everywhere in Gamindustri.
Reached 100 HIT with your original Combo.
Helped a wounded ally during battle 20 times.
Switched with back-row members in battle 50 times.
CPU Green Heart joins the party.
CPU Black Heart joins the party.
CPU White Heart joins the party.
Defeated Arfoire with the power of all CPUs combined.
Obtained S rank in all Time Challenges.
Obtained all content.