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