Here is the full list of all 39 Nex Machina trophies - there are 23 bronze, 11 silver, 4 gold and 1 platinum.
Complete all trophies
Reach a human combo of 50
Complete 100 feats
Complete 50 feats
Beat Machine City on Experienced difficulty in under 5:45
Complete Techno Forest on Master difficulty
Complete Arcade mode on Veteran difficulty
Clear a single world while succeeding in every level end dash on any difficulty
Succeed in 10 level end dashes in a row on any difficulty
Complete Arcade mode on Experienced difficulty without continuing
Reach a multiplier of 50
Defeat the Beamtron on Experienced difficulty with one or more enemies still alive
Save all Humans and Secret Humans in a single world on Veteran difficulty
Dash through 3 beams with single dash
Complete a single world on Experienced difficulty without saving any humans
Destroy every Secret Beacon in a single world
Discover a secret level
Finish 5 levels in a row without movement, dashing allowed
Finish a level without firing your primary or your secondary weapon
Complete Arcade mode on Experienced difficulty
Complete Arcade mode on Rookie difficulty
Complete Space Station in arcade mode on any difficulty
Save all Secret Humans in a single world on Experienced difficulty or higher
Complete Future Labs in arcade mode on any difficulty
Complete Machine City in arcade mode on any difficulty
Complete Fire Caverns in arcade mode on any difficulty
Complete Crystal Mountain in arcade mode on any difficulty
Clear a single world on Experienced difficulty or higher without getting hit
Deal a killing blow to a boss with a Sword attack
Earn 6 silver medals in the Arena
Earn 3 bronze medals in the Arena
Earn 9 gold medals in the Arena
Save a human while it's being harvested
Complete Techno Forest in arcade mode on any difficulty
Complete a feat
Kill every Disruptor in a single world
Reach a human combo of 5
Fully power up the Hero
Kill a Disruptor