Here is the full list of all 35 Psyvariar Delta achievements.
Clear Version: REVISION using AXION-μ
Destroy GRAVITON
Clear Version: MEDIUM UNIT
Destroy WEAKBOSON
Destroy CREK-G
Destroy CRANAUM
Destroy all enemies in a stage.
Select restart in Area 1
Clear Version: REVISION
Clear Version: REVISION with no continues
Destroy PHOTON
Destroy TRIGAM
Destroy MZIQ
Destroy AFX-2
Destroy SQ-P
Collect all achievements
Execute more than 1000 BUZZ CHAINS
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
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+
Destroy BJOK-51
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