Here is the full list of all 31 ZIQ achievements.
Clear Stage 2
Score 1000 points
Die 10 times
Clear Stage 1
Collect 100 Charge Cores
Clear the game
Clear the game without dying
Clear Stage 3
Clear Stage 4
Clear Stage 5
Clear Stage 6
Score 5000 points
Score 10000 points
Score 15000 points
Score 20000 points
Collect 500 Charge Cores
Collect 1000 Charge Cores
Collect 3000 Charge Cores
Get 10 Sequences in a row
Get 20 Sequences in a row
Get 30 Sequences in a row
Get 40 Sequences in a row
Die 50 times
Die 100 times
Die 200 Times
Destroy 10 polarity obstacles
Destroy 50 polarity obstacles
Destroy 100 polarity obstacles
Destroy 200 polarity obstacles
Clear the game without dying to a wall
Die 100 times to a polarity obstacle