Here is the full list of all 22 RAYZE achievements.
Warp 100 times.
Warp 1000 times.
Warp 10000 times.
Get combo of 5 warps.
Get combo of 10 warps.
Get combo of 15 warps.
Get max speed of 500.
Get max speed of 750.
Get max speed of 1000.
Warp 100000 times.
Get combo of 20 warps.
Get max speed of 1500.
Finish sector 1.
Finish sector 2.
Finish sector 3.
Finish sector 4.
Finish sector 5.
Finish all levels.
Get at least style A+ on each level.
Get at least style B+ on each level.
Get at least style S+ on each level.
Get at least style C+ on each level.