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