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