Here is the full list of all 42 Shu achievements.
Save your first Babby
Obtain a gold butterfly medal on any level
Complete the first level
Complete World 1
Complete World 2
Complete World 3
Beat one of Goo Shu's top times
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
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