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