Here is the full list of all 22 Space Warp achievements.
Beat personal best record 50 times.
Complete 8th world.
Complete 7th world.
Failed 500 times.
Failed 250 times.
Failed 100 times.
Failed 50 times.
Complete 6th world.
Complete 5th world.
Beat personal best record 10 times.
Fall into a black hole.
Complete 4th world.
Beat personal best record 5 times.
Beat personal best record.
Complete 3rd world.
Watch complete replay.
Compete with at least 5 friends.
Complete 2nd world.
Failed 10 times.
Complete level after almost dying in radiation zone.
Complete 1st world.
Complete 1st level.