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