Here is the full list of all 35 Psyvariar Delta achievements.
Destroy CRANAUM
Clear Version: REVISION
Clear Version: REVISION using AXION-μ
Clear Version: MEDIUM UNIT
Destroy WEAKBOSON
Destroy CREK-G
Destroy TRIGAM
Destroy all enemies in a stage.
Destroy PHOTON
Destroy BJOK-51
Execute more than 1000 BUZZ CHAINS
Destroy MZIQ
Destroy AFX-2
Destroy SQ-P
Select restart in Area 1
Collect all achievements
Execute more than 2500 BUZZ CHAINS
Execute more than 5000 BUZZ CHAINS
Execute more than 10000 BUZZ CHAINS
Reach level 127 with AXION-μ
Reach level 256 with AXION-R
Destroy all enemies in X-stage.
Clear Version: MEDIUM UNIT with no continues
Clear Version: REVISION with no continues
Destroy GRAVITON
Destroy GLUON
Clear XX-A in REPLAY MODE+
Clear XX-B in REPLAY MODE+
Clear XX-C in REPLAY MODE+
Clear XX-D in REPLAY MODE+
Accumulate 250,000 BUZZ
Accumulate 500,000 BUZZ
Accumulate 1,000,000 BUZZ
Destroy a boss with a level up attack
Reach the Dream Safety Zone Secure a Safety Zone with AFX-2