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