Here is the full list of all 51 Arcana Heart 3 trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Conquered the beast that is Arcana Heart 3
Raised the RP Level of all characters to 3.
Raised the RP Level of one character to 10.
Unlocked all of the illustrations in Gallery Mode.
Watched all of the endings in Story Mode.
Unlocked all of the link animations in Gallery Mode.
Defeated Parace L'Sia in Score Attack Mode.
Executed a 100+ hit combo without using the help of an Arcana.
Used Baldur to defeat Ragnarok.
Ran the longest possible line off of a successful [Wall Step].
Cleared Story Mode using Heart and the Arcana of Love.
Finished Story Mode on the highest difficulty.
Finished Story Mode.
Watched the bad ending in Story Mode.
Completed a 666-hit combo.
Got a counter-hit using [Restriction Unleashed - War Chain Wolkenkratzer (EF)].
Performed [Cinderella!] when the numbers on the clock are lined up.
Successfully input the follow-up attack to [Fuuju - Narukami (EF)].
Used the ultimate version of [Shunkoku].
Got attacked immediately after the [Come and Get Me!] teleport.
Landed the ultimate version of [Ending Sadness].
Absorbed life using [Il Rapimento].
Got all clean hits with Edinorog during [Final Razdelenie (EF)].
Completed all the follow-ups to [Ancient Talisman] in a single match.
Completed [Geschick the Blood Linchpin] over 4 times while the doll is inactive.
Landed [Hama No Shishiku] and [Taima No Zuikaku] during a combo.
Caused over 20 stuffed animals to appear during [Kawarimi no Jutsu].
Saw all versions of [I'll Draw...] in a single match.
Used moves with the word "Sacred" in them more than 100 times as Fiona.
Fought and defeated all the characters in Network Mode.
Used more than 1000 Ether Stocks.
Used all of Dorothy's card hands during a match.
Used [The Hero, Minigawa, Launch!] more than three times during a single match.
While the Water Arcana [Regnum] is active, land a [Last Armageddon Drop].
Got a clean hit with [Sacred Slayer (EF)].
Complete the move [Garbh Dagda (EF)] without pressing any unnecessary buttons.
Won using Arcana Blaze.
Won using an Extended Critical Heart.
Won while the Extend Force was disabled.
Completely drained the Spiritual Gauge more than 3 times in a single match.
Won using Critical Heart.
Got all of Elsa's weapons to show up during a single match.
As Mei-Fang, defeated an opponent without taking any damage.
Used the moves [Kagesuki], [Kodama], [Seizan], and [Sazarashi] in one round.
Used more than five 360 motion special moves and won with a 360 motion special move.
Used all of the characters.
Fought and defeated all the Arcana in Network Mode.
Used all of the Arcana.
Played your first Ranked Match.
Practiced for 15 minutes straight in Training Mode.
Played your first Player Match.