Here is the full list of all 42 Shu achievements.
Complete the first level
Complete World 1
Complete World 2
Complete World 3
Beat one of Goo Shu's top times
Save your first Babby
Save all Babbies in one world
Complete a level without dying
Complete a world without dying
Visit all of Bryn's corners
Don't get struck by lightning
Leap out of Okoro water at the last second
Glide for a total of 100 seconds
Replay any level more than twice
Collect a Mural Piece
Collect all Mural Pieces
Set a time on all levels
Died more than 10 times on the same level
Took over 8 minutes to finish a level
Collect 20 Butterflies without landing
Ride the bull without dying
Avoid the airstream death trap in "Breathless at the Precipice"
Get killed by a time slowed hazard
Smash through a pane of glass with Lombo in both directions
Meet all of the Villagers
Complete World 4
Save all Babbies
Obtain "No Deaths" badge for all levels
Obtain a gold butterfly medal on any level
Outrun the Storm without dying
Beat Goo Shu's Tower Time
Slow down time and dash to past the finish line
Chain 3 airstreams together in a row
Complete the game
Obtain all gold butterfly medals
100% all levels
Obtain a gold butterfly medal on any world 6 level
Complete World 6
100% all World 6 Levels
Obtain a no deaths medal on any world 6 level
Save all Babbies in any world 6 level
Beat the Goo Shu time on all levels