Here is the full list of all 46 Hyperdimension Neptunia (JP) trophies - there are 34 bronze, 8 silver, 3 gold and 1 platinum.
Game completed
Obtained all histoire
Completed all the time attack in S-Class
Walked through the entire map
Combine all the Hards power to defeat True Magiquone
Patron godess Green heart joined your group
Patron godess White heart joinded your group
Patron godess Black heart joinded your group
Scenarion cleared
Legendary weapon "TATUJINNNORENNSOU" completed
Legendary weapon "DAIKENNKYUU" completed
Legendary weapon "SOUSIKIKYOJYUU" completed
Performed a 100Hits combo
Legendaryweapon"SANNGENNSENNKENN" completed
Realise the existence of Magiquone
Broke the "Histoire" book seal
Found a piece of the key parts in LEANBOX
bring Neptune back to life
Cure 20 times a wounded "friend" during battle
Found a piece of the key parts in LOWEE
Deafeated all monsters appreared in the city
Found a piece of the key parts in LASTATION
Perfect demonstration
Gathered information led you to find and clear a quest
GUST joined your group
Nippon Ichi joined your group
Performed "baton pass" 50 times
Returned to PLANEPTUNE
Arrived in LASTATION
Arrived in LOWEE
Arrived in LEANBOX
Created an original combo
Performed a chain of 5 link combo
Fought in Patron godess form during battle
First battle
Item search skill activated
Duel with IF
Accessory changed
Processor unit changed
Purchased items
Dungeon tutorial cleared
Monsters call
Obstacle destroyed
Synthesized item used in battle
Battle formation changed
New game started