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