Here is the full list of all 21 Binaries achievements.
Find the pew pews and the shooty bits.
Collect Time Bonuses 25 times.
Blue and Orange have died 250 times between them.
Find out how to turn back time.
Blue and Orange have died 50 times between them.
Learn something (very) important.
Unlock every level.
Complete every level.
Achieve B Rank or higher on every level.
Achieve A Rank or higher on every level.
Achieve S Rank on every level.
Complete any level in under 00:02:50
Have a Total Completion Time of under 38:00:00
Blue and Orange have died 1,500 times between them.
Collect Time Bonuses 150 times.
Find a faster mode of travel.
Find out that not everything's bolted down.
Look, they aren't portals okay?
Stretch your concentration further than before.
Be able to turn on those big puppy dog eyes.
Find some strange rectangular friends.