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