Here is the full list of all 179 DESYNC achievements.
Progressed Speed Shard Tier
Executed the Mercy Attack Sequence
Cleared Necropolis
Discovered the Aegis Sidearm
Discovered the Restore Core
Executed the Evader Attack Sequence
Executed the Aggressor Attack Sequence
Executed the Flicker Attack Sequence
Executed the Entrapment Attack Sequence
Executed the Pierced Attack Sequence
Discovered the Terrablaster Weapon
Executed the Energizer Attack Sequence
Executed the Oblitherator Attack Sequence
Complete User Integration
Executed 1000 Attack Sequences
Cleared Necropolis Aberration
Cleared Approach
Cleared Approach Aberration
Cleared Colossal
Cleared Colossal Aberration
Defeated Xeoron the Defender
Cleared Biomineral
Cleared Biomineral Aberration
Cleared Helix
Cleared Helix Aberration
Cleared Meridian
Cleared Meridian Aberration
Defeated Zentore the Defender
Cleared Stridulitron
Cleared Stridulitron Aberration
Cleared Troglobionic
Cleared Troglobionic Aberration
Cleared Zenith
Cleared Zenith Aberration
Defeated Ypsiliform the Defenders
Progressed Damage Shard Tier
Progressed Firerate Shard Tier
Progressed Retention Shard Tier
Discovered the Strength Imbue
Progressed Strength Imbue Insertion
Discovered the Dull Imbue
Progressed Dull Imbue Insertion
Discovered the Stability Imbue
Progressed Stability Imbue Insertion
Discovered the Velocity Imbue
Progressed Velocity Imbue Insertion
Progressed Aegis Sidearm Level
Discovered the Toxburst Sidearm
Progressed Toxburst Sidearm Level
Discovered the Coldcross Sidearm
Progressed Coldcross Sidearm Level
Discovered the Pulsar Sidearm
Progressed Pulsar Sidearm Level
Discovered the Diameteor Weapon
Discovered the Wavescythe Weapon
Discovered the Polyhedrom Weapon
Discovered the Diffuserrail Weapon
Discovered the Osmoflux Weapon
Discovered the Additive Core
Discovered the Corruptor Core
Discovered the Reform Core
Discovered the Nutation Core
Discovered the Freeze Core
Discovered the Fracture Core
Discovered the Distortion Core
Initialize all Tristol Shard Slots
Initialize all TerraBlaster Shard Slots
Initialize all Diameteor Shard Slots
Initialize all Diffuserrail Shard Slots
Initialize all Polyhedrom Shard Slots
Initialize all Wavescythe Shard Slots
Initialize all Osmoflux Shard Slots
The true DESYNC starts here
Executed the Dismantler Attack Sequence
Executed the Decimator Attack Sequence
Executed the Shocker Attack Sequence
Executed the Basher Attack Sequence
Executed the Drilled Attack Sequence
Executed the Deliquesce Attack Sequence
Executed the Candescence Attack Sequence
Executed the Slingshot Attack Sequence
Executed the Pull Apart Attack Sequence
Executed the Antisocial Attack Sequence
Executed the Xaero Attack Sequence
Executed the Axed Attack Sequence
Executed the Riposte Attack Sequence
Executed the Processor Attack Sequence
Executed the Overcharged Attack Sequence
Executed the Staked Attack Sequence
Executed the Osmosis Attack Sequence
Executed the Aerial Attack Sequence
Executed the Consumed Attack Sequence
Executed the Lanced Attack Sequence
Executed the Aperture Attack Sequence
Executed the Delayer Attack Sequence
Executed the Switcher Attack Sequence
Executed the Dismayer Attack Sequence
Executed the Ambidextrous Attack Sequence
Executed the Cored Attack Sequence
Executed the Alternator Attack Sequence
Executed the Abyssal Attack Sequence
Executed the Unseen Attack Sequence
Executed the Entripment Attack Sequence
Defeated Xeoron without taking damage
Defeated Xeoron Swiftly
Used the Aegis and Parried Xeoron
Defeated Zentore without taking damage
Defeated Zentore Swiftly
Deny Zentore from healing over 33% of it's health
Defeated Ypsiliform without taking damage
Defeated Ypsiliform swiftly
Used the Pulsar to Desync Ypsiliform
Killed 1000 Enemies
Overkilled 500 Enemies
Desynced 100 Enemies
Launched 100 Enemies
Blasted 100 Enemies
Generated 50 Shards
Melted 50 Shards
Toxified 50 Enemies
Petrified 50 Enemies
Froze 50 Enemies
Maxed out the Kill Stream
Maxed out the Overkill Stream
Maxed out the Attack Sequence Stream
Maxed out the Desync Stream
Maximised Damage Increase
Maximised Firerate Increase
Maximised Retention Increase
Maximised Speed Increase
Cleared a level with perfect accuracy
Cleared a level with S+
Desynced every enemy in a level
Gained a total score of 10,101,101
Discovered the Virus Core
Executed the Bounced Attack Sequence
Executed the Coolant Attack Sequence
Executed the Acidic Attack Sequence
Executed the Fragment Attack Sequence
Executed the Penetrator Attack Sequence
Executed the Singleton Attack Sequence
Executed the Plague Attack Sequence
Executed the Deliverance Attack Sequence
Executed the Chemist Attack Sequence
Discovered all Priority Styles
Discovered all Manoeuvre Styles
Discovered all Offence Styles
Executed the Augur Attack Sequence
Executed the Refusal Attack Sequence
Executed the Multiplex Attack Sequence
Combined all Zone Structs
Executed the Justicar Attack Sequence
Executed the Nether Attack Sequence
Executed the Joust Attack Sequence
Executed the Cooldown Attack Sequence
Executed the Extent Attack Sequence
Executed the Amplitude Attack Sequence
Executed the Stimulator Attack Sequence
Executed the Divider Attack Sequence
Executed the Sculptor Attack Sequence
Executed the Fusillade Attack Sequence
Maintained Desync Time for over 15 seconds
Maxed out every Stream at once