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