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