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