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