Here is the full list of all 51 BlazBlue: Calamity Trigger trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Conquered the world of BlazBlue.
[Player Match] Fought a total of 150 battles.
[Ranked Match] Fought over 200 battles.
[REPLAY THEATER] Collected over five replays, other than your own.
Reached Lv.30.
[Ranked Match] Fought over 100 battles.
Used Counter Assault 30 times.
Performed an instant block 300 times.
Used Rapid Cancel over 100 times.
Successfully escaped 50 throws.
[Player Match] Witnessed over 20 battles.
Use an Astral Finish with every character.
Performed your first Astral Heat.
Caused a Double Down to occur.
Used all the color palettes of a single character.
[SCORE ATTACK] Beat Score Attack mode.
[ARCADE / SCORE ATTACK] Defeated "Unlimited" Ragna, and obtained the power of darkness.
Used Barrier Burst over 30 times.
Completed a 60+ hit combo using Nu.
【STORY】 Saw the "True Ending".
Earned a Perfect victory 30 times.
Exceed a total playtime of 25 hours.
Reached Lv.10.
Used Ragna's "Gauntlet Hades" over 100 times.
[GALLERY] Collected over 50 illustrations.
Dealt over 10,000 damage using Hakumen, without the use of an Astral Heat.
Used Distortion Drive over 100 times.
[TRAINING] Dished out a total of over 1,000,000 damage.
Heard Noel say, "Hands off the panda!" over 100 times.
[Ranked Match] Three consecutive wins in Ranked Matches.
[Ranked Match] Won first victory in a Ranked Match.
[Ranked Match] Played first Ranked Match.
As Carl, decommissioned Nirvana three times in one round.
[Ranked / Player Match] Fought against all characters.
Stayed afloat for over 25 seconds with Rachel.
Used Musou Senshouzan or Tosshougeki over 20 times in one round, and finished the opponent off.
Let your opponent get a 5,000 hit-point lead on you, then taunt you.
Performed a 20 hit combo after the round is over.
Hit the opponent with Tager's "Spark Bolt" more than six times in one round.
In one match, successfully pulled off "Thirteen Orphans", "The Great Wheel", and "All Green".
Threw a Kaka kitten using Taokaka's "Kitty Litter Special!".
[Ranked / Player Match] Get "First Strike" five times in a row.
Had a perfect match using Arakune.
Fought against Bang as Bang, and both activated the "Fu-Rin-Ka-Zan".
Performed your first Barrier Crush.
[ARCADE / SCORE ATTACK] Defeated Hakumen.
【ARCADE / SCORE ATTACK】 Defeated "Unlimited" Rachel.
[ARCADE] Beat Arcade mode on HELL difficulty.
[ARCADE / SCORE ATTACK] Defeated Nu.
[Player Match] Played first Player Match.
[STORY] Watched the opening.