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