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