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