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)
You found all the Picture Frames!
Run out of lives. So sad...
You got 100% of everything!
You got the Chronorang
You found all the opals!
Set a best time with the Chronorang equipped.
Get all the boomerangs
Defeat 200 enemies using your Bite
Completed All Time Attacks
You got all the Rainbow Scales
Defeat 75 enemies with the Zappyrang
Burn 50 Cricket Bats
You got the Infrarang
You got the Megarang
You got the Kaboomerang
You found all the Bilbies!
Hit Lenny with the Flamerang 15 times
Defeat 100 enemies with the Flamerang
You got your second rang!
You learnt how to swim!
You got the Zoomerang
You got the Multirang
You didn't miss with a single boulder!
Hit Shazza with the Flamerang
Bite a leech.
Get a thunderegg from a turkey using a super bite