Here is the full list of all 25 Synchrom achievements.
Perform 50 snipes
Perform 75 Quick Shots
Loot 1000 gems
Loot 100 power-ups
Destroy 125 projections
Win against each Cryptangle
Win against each Cryptangle Epic Incarnation
Loot your first Synchrom part
Unlock a Synchrom
Unlock all Synchroms
Loot 100 gems in a single game
Score 5 000 000 points in a single game
Perform 20 acrobatics in a single game
Loot 20 power-ups in a game
Perform 40 style shots in a game
Perform 10 Cyclone acrobatics
Perform 5 Maëlstrom acrobatics
Last hit Epic Incarnation with at least combo level 5
Reach combo level 7
Overcome an Epic Incarnation with full focus
Lose in Holotraining
Lose 5 times in easy mod
Score 10 000 000 points in a single game
Survive a Cryptangle rage
Reach Light Avatar grade