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