Here is the full list of all 33 Polyball achievements.
You have completed the game!
In the hour you have spent airborne
You have crossed over
A master jumper! 2000 (mostly) successful jumps!
You escaped the void, but into what?
Are you broken yet?
What more is there to say?
800 jumps, I bet you think you are getting pretty good
You escaped into the void
You withstood the heat and finished!
Get used to it
60 jumps, a drop in a bucket
You'll get used to air control
You are Lord of the Forest
110?!?! Are you crazy?!
Travel 1km
40 is a pretty decent speed, but you can do better
Travel the circumference of the Earth, or 40,075 km
You have conquered the Great Forest
You have conquered the Volcano
You have conquered the Desert
You have conquered Space
You have conquered limbo
You are a master of the sky. 2 hours of flight time.
Destroyer of worlds
Collected all of the hidden Forest trophies!
Collected all of the hidden Volcano trophies!
Collected all of the hidden Desert trophies!
Collected all of the hidden Space trophies!
Collected all of the hidden Limbo trophies!
Collected all of the hidden Otherworld trophies!
You have conquered Otherworld
Collected all the trophies!