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