Here is the full list of all 38 Superdimension Neptune VS Sega Hard Girls (EU) trophies - there are 22 bronze, 11 silver, 4 gold and 1 platinum.
Acquired all trophies.
You beat Delphinus.
You cleared the dungeon challenge.
You caught all the balls.
You saw the Bad Ending.
You saw the True Ending.
You saw the Normal Ending.
All your characters maxed out their Lily ranks.
All your characters reached 99.
You reached level 99.
You fought 500 battles !
You cleared a 100 different missions.
You earned a million credits. Wow.
You maxed out your Lily rank.
Your investigation skills reached level 25.
You dished out over 100 Hits.
You activated Fever Time 100 times.
You chatted with all the Sega Hard Girls.
DREAMCAST joined your party.
UZUME joined your party.
Toypolis Third Floor unlocked.
SEGA SATURN joined your party.
NEPTUNE joined your party.
Toypolis Second Floor unlocked.
GAME GEAR joined your party.
NEPGEAR joined your party.
MEGA DRIVE joined your party.
PLUTIA joined your party.
You inflicted over 100,000 damage points to an enemy.
You challenged the Time Eater!
You fought 100 battles !
Toypolis been unlocked.
You performed a Class Change.
Fever Time activated.
You caught a ball.
You finished your first fight! Aw.
You made your first leap through time.
Fired up the game!