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