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