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