Here is the full list of all 35 Psyvariar Delta achievements.
Destroy AFX-2
Destroy SQ-P
Clear Version: REVISION
Destroy PHOTON
Destroy TRIGAM
Destroy MZIQ
Destroy CRANAUM
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 a stage.
Destroy all enemies in X-stage.
Clear Version: MEDIUM UNIT
Clear Version: MEDIUM UNIT with no continues
Clear Version: REVISION with no continues
Destroy GRAVITON
Destroy WEAKBOSON
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 CREK-G
Destroy BJOK-51
Accumulate 250,000 BUZZ
Accumulate 500,000 BUZZ
Accumulate 1,000,000 BUZZ
Select restart in Area 1
Destroy a boss with a level up attack
Clear Version: REVISION using AXION-μ
Reach the Dream Safety Zone Secure a Safety Zone with AFX-2