Here is the full list of all 22 Hare achievements.
Defeat Eunomia
Running is just the start
Defeat Cerberus
Do your job and defeat the dragon
Defeat Aphrodite
yep.
Finish your job by defeating the Thief
For her
Get an S rank for Time and Style
Deny death by using your ultimate
Remember
Get to the caves of time
...
Defeat the forgotten guardian
Fight the Galactic Empire
Get to a S rank in a stage
Get a Time S rank
Get 200,000 points in a single run
Get a Style S rank