Here is the full list of all 42 Hyperdimension Neptunia Victory (JP) trophies - there are 24 bronze, 15 silver, 2 gold and 1 platinum.
Fully enjoyed playing Neptune V
Made a 100 different items
Obtained 1 billion credits
Lily Rank level max with all characters
All characters have reached level 99
One character reached level 99
Cleared all quests with the RANK S
Watched a True Ending
Made your first "god game" using the disk maker
Watched a Good Ending
Chapter 9 Cleared
Chapter 8 Cleared
Performed a 100 hits combo
Obtained Lost Remains by using investigator system
Won 500 fights
Obtained a grade of 40 for each chapter
Used the disk maker for the first time
Watched a Normal Ending
Chapter 7 Cleared
Chapter 6 Cleared
Chapter 5 Cleared
Chapter 4 Cleared
Chapter 3 Cleared
Inflicted more than 100,000 damage points to an enemy
Won 100 fights
Chapter 2 Cleared
The first use of investigator
Made you're first combo
Chapter 1 Cleared
Prologue Cleared
Made your first item
Won your first battle
Started a new game