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