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