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