Here is the full list of all 36 Calico & Co. achievements.
Save Spaniel
Die on a spike 10 times
Drown 10 times
As Calico, die 9 times in a row
Finish the first level
Collect 10 artifacts
Save Chimp
Save Toro
Save Dillo
Save Tweeny
Collect 50 artifacts
Collect 100 artifacts
Collect 200 artifacts
As Dillo, roll continuously for 15 seconds
As Tweeny, have a total (accumulated) fly time of 60 seconds
Collect 60 stars
Collect 90 stars
Collect 120 stars
Collect 10 wings
Collect 50 wings
Collect 100 wings
Collect 200 wings
Die on a spike 50 times
Die on a spike 100 times
Fall from height 10 times
Fall from height 50 times
Fall from height 100 times
Drown 50 times
Drown 100 times
Die from TNT 10 times
Die from TNT 50 times
Die from TNT 100 times
Finish all jungle levels
Finish all city levels
Successfully save Felix
Successfully save Francis