Here is the full list of all 22 Binaries trophies - there are 7 bronze, 6 silver, 8 gold and 1 platinum.
Obtain all other trophies
Achieve S Rank on every level.
Achieve B Rank or higher on every level.
Achieve A Rank or higher on every level.
Have a Total Completion Time of under 38:00:00
Complete every level.
Find some strange rectangular friends.
Be able to turn on those big puppy dog eyes.
Unlock every level.
Blue and Orange have died 1,500 times between them.
Stretch your concentration further than before.
Collect Time Bonuses 150 times.
Look, they aren't portals okay?
Find out that not everything's bolted down.
Find a faster mode of travel.
Blue and Orange have died 250 times between them.
Complete any level in under 00:02:50
Collect Time Bonuses 25 times.
Blue and Orange have died 50 times between them.
Find the pew pews and the shooty bits.
Find out how to turn back time.
Learn something (very) important.