Here is the full list of all 39 TY the Tasmanian Tiger achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
You got 100% of everything! (HardCore)
Run out of lives. So sad...
You found all the Picture Frames!
Get a thunderegg from a turkey using a super bite
Set a best time with the Chronorang equipped.
You didn't miss with a single boulder!
Hit Shazza with the Flamerang
You got all the Rainbow Scales
Defeat 75 enemies with the Zappyrang
Burn 50 Cricket Bats
You got 100% of everything!
Hit Lenny with the Flamerang 15 times
Defeat 200 enemies using your Bite
Get all the boomerangs
You got the Chronorang
You got the Kaboomerang
You got the Megarang
You found all the Bilbies!
You found all the opals!
Completed All Time Attacks
You got the Infrarang
You got the Multirang
Defeat 100 enemies with the Flamerang
You got the Zoomerang
You learnt how to swim!
Bite a leech.
You got your second rang!