Here is the full list of all 33 Megadimension Neptunia VIIR trophies - there are 10 bronze, 18 silver, 4 gold and 1 platinum.
Bounty: Defeated Heretical Dogoo Jack and Magical Dogoo Billy.
Bounty: Defeated the Youngest Brother, Middle Sister, and Eldest Brother Cat's Tails.
Bounty: Defeated God of Woe.
Bounty: Defeated Destiny Cat.
Defeated [Ancient Dragon King].
Bounty: Defeated Delphinus.
Number of Scouts exceeded 20.
Cleared a Rank Challenge and raised the Technology Level.
Cleared a High-Risk Bounty Quest.
Bounty: Defeated the entire Rabii family.
Bounty: Defeated all of the Signal Brothers.
Bounty: Defeated both MMO Squeed Elite and Big Boss.
Bounty: Defeated Wildvader.
Raised a City's Industry Level to 9.
Raised a City's Public Relations Level to 9.
Cleared a Bounty Quest.
Defeated a Dangerous Enemy.
Raised a City's Commerce Level to 7.
Cleared [Heart Dimension H Trilogy Finale: Into Legend...].
Used Route Building to build the route a Scout found for you.
Cleared [Hyper Dimension Neptunia G: The Golden Leaders, Reconstructors of Gamindustri].
Obtained a Super Rare item.
Obtained a Rare item.
Upped the Rank of an item.
Cleared [Zero Dimension Neptunia Z: Twilight of the Desperate CPU].
Tried Disc Dev.
Created an item from a Plan.
Acquired all of the trophies.
Created an Ultra Rare item from a Plan.
Equipped Ultra Rare items for your Weapon, Armor, Costume, and Accessory simultaneously.
Equipped all Ultra Rare items for your Processors.
Cleared all of the Bounty Quests, including the High-Risk ones.
Cleared all of the Rank Challenges.