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