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.
You got 100% of everything! (HardCore)
Run out of lives. So sad...
You found all the Picture Frames!
You got 100% of everything!
Burn 50 Cricket Bats
Defeat 75 enemies with the Zappyrang
Set a best time with the Chronorang equipped.
Get all the boomerangs
You got the Chronorang
You got the Kaboomerang
You got the Megarang
You got the Infrarang
You got all the Rainbow Scales
Completed All Time Attacks
You found all the Bilbies!
You found all the opals!
Defeat 200 enemies using your Bite
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!
Hit Shazza with the Flamerang
Defeat 100 enemies with the Flamerang
You got the Multirang
You got the Zoomerang
You learnt how to swim!
Bite a leech.
You got your second rang!