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