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