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