There are 36 Trophies that can be collected.

Platinum

All Trophies Earned    
Obtain all trophies.

35 Secret

Bronze

One Normal Day    
Let Keina help you change at the workshop.    

Stars Never Change    
Gaze at a starry night sky with Keina and reminisce about the past.    

Brothers Together    
Witness Lias bask in the glow of Rufus's approval.    

Atelier Totori (Current)    
Hear the stories of Miss Totori and her friends.    

Pie Shop Opens    
Construct a Pie Shop and visit with Rorona.    

Look into the Past    
Glimpse Gio lost in thought at the fort.    

Certain Sisters    
Take a peek at Filly and Esty's intimate sisterhood.    

Resemblance    
Find Rufus and Sterk getting along at the tavern.    

End of the Duel    
Encounter a master-pupil showdown between Sterk and Gino.    

Friendship, Love    
Help Totori and Mimi get along.    

Drunkard Legend EX    
Suffer the indignity of a drunk's advances at the tavern.    

Rorona Introduction    
Watch as a legendary alchemist and her troupe visit the workshop.    

Masked Man Reappears    
Run into Arland's manly masked crusader.    

Secret Tea Party    
Stumble upon Rufus's solitary tea time.    

Waterside Encounter    
Discover Hanna as she bathes.    

How Do I Look…?    
Force Keina to wear some princessly clothes.    

Girl's Bath    
Visit the hot spring with a group of all girls.    

Admission Ceremony    
Reach the initial goal and help Arls merge with Arland.    

Ominous Box    
Battle the coffin-bound monster in the mine and emerge victorious.    

One from the Sky    
Ascend to the ancient city and cast down the ruler of the sky.    

God of the Forest    
Put the energetic spirit of the tree into an eternal slumber.    

Presence of the Flame    
Subdue the Volcano Incarnate.    

Changing the Past    
Bring closure to the tragedy of Arls.    

Closer to God    
Stare into the abyss and win out against the evil goddess.

Silver

Castle Life    
Return to your boring life in the castle.    

A Rich Nation    
Make Arls rich, developing it into an agricultural powerhouse.    

Now, Go Bravely    
Arm Arls to the teeth and take command of it all.    

Finally, As Planned    
Make friends with the forever-14 Rorolina Frixell.    

Boy's Bath    
Transform Arls into a grand vacation paradise.

Gold

Topsy-Turvy    
Take Arls's population to the limit and turn it into a superpower.    

Strongest Princess    
Become a hero and the land's strongest princess.    

Witch's Tea Party    
Master alchemy and together become feared as the Four Witches.    

Miss Popular    
Gain popularity with everyone.    

Alchemist!    
Become an alchemist of Arland and open Atelier Meruru.    

Meruru Statue Complete!    
Construct a statue of Meruru to mark your achievements.

http://www.ps3trophies.org/game/atelier-meruru-the-apprentice-of-arland/trophies/