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