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