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