Here is the full list of all 48 Psyvariar Delta trophies - there are 32 bronze, 13 silver, 2 gold and 1 platinum.
Collect all trophies
Accumulate 1,000,000 BUZZ
Destroy all enemies in X-stage.
【Only NORMAL GAME, SCORE ATTACK】Clear 5-B
【Only NORMAL GAME, SCORE ATTACK】Clear 6-B
【Only NORMAL GAME, SCORE ATTACK】Clear 5-C
【Only NORMAL GAME, SCORE ATTACK】Reach level 88 with AXION-μ
【Only NORMAL GAME, SCORE ATTACK】Clear X-D
【Only NORMAL GAME, SCORE ATTACK】Reach level 256 with AXION-R
Reach level 256 with any plane
【Only NORMAL GAME, SCORE ATTACK】Clear X-C
【Only NORMAL GAME, SCORE ATTACK】Clear X-B
Destroy a boss with a level up attack
Reach the Dream Safety Zone
Clear Version: REVISION with no continues
Clear Version: MEDIUM UNIT with no continues
Execute more than 10000 BUZZ CHAINS
Clear XX-D in REPLAY MODE+
Destroy GLUON
Accumulate 500,000 BUZZ
Accumulate 250,000 BUZZ
Execute more than 5000 BUZZ CHAINS
Clear XX-C in REPLAY MODE+
Execute more than 2500 BUZZ CHAINS
Clear XX-B in REPLAY MODE+
Destroy GRAVITON
Clear XX-A in REPLAY MODE+
Execute more than 1000 BUZZ CHAINS
Clear an Area without shooting
Destroy BJOK-51
Destroy CRANAUM
Clear Version: REVISION
Clear Version: REVISION using AXION-μ
【Only NORMAL GAME, SCORE ATTACK】Clear X-A
Destroy PHOTON
Destroy MZIQ
Clear Version: MEDIUM UNIT
【Only NORMAL GAME, SCORE ATTACK】Clear 6-A
Destroy WEAKBOSON
Use all bombs
Destroy TRIGAM
Destroy CREK-G
Destroy AFX-2
Destroy all enemies in a stage.
Destroy SQ-P
Stock the maximum number of bombs
Clear an Area without using a bomb
Select restart in Area 1