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