Here is the full list of all 14 Neodash achievements.
Reach 1000 speed
Beat a community level
Find a red gate
Enter zone 2
Complete the tutorials
Beat 2-15
Beat all campaign levels
Beat S difficulty community level
Beat SS difficulty community level
Beat SSS difficulty community level
Beat A tier difficulty community level
Beat 10 verified community levels
Beat 30 verified community levels
Beat 50 verified community levels