Here is the full list of all 26 Just Shapes Beats achievements.
Complete a playlist of 10 songs or more
Complete a playlist of all bosses
Obtain 20 Rank A
Obtain 15 Rank S
Dash 2500 times (Challenge mode)
Rescue 250 friends (Challenge mode)
Complete 25 challenges
Complete 50 challenges
Complete 100 challenges
Get 2000 Beat Points
Get 7500 Beat Points
Get 25000 Beat Points
Dash 1000 times (Challenge mode)
Rescue 50 friends (Challenge mode)
Obtain 10 Rank A
Obtain 10 Rank B
Complete a level without dashing (Challenge mode)
Obtain Rank S without dashing
Complete Story
Beat 'Final Boss' (Story mode)
Beat 'Close To Me' Boss (Story mode)
Beat 'Lycanthropy' Boss (Story mode)
Beat 'Barracuda' Boss (Story mode)
Beat 'New Game' Boss (Story mode)
Beat tutorial Boss (Story mode)
Complete a challenge with Rank A or higher on all levels