Here is the full list of all 39 NeuroVoider trophies - there are 26 bronze, 7 silver, 5 gold and 1 platinum.
Kill 3000 elites
Complete 30 Daily Runs
Kill 9000 enemies
Save 20,000 scrap during one game
Complete 7 Daily Runs
Complete a special auto-destruct level
Kill 50 bosses
Skip a level
Beat the second boss
Play a super elite special level
Play a pitch black special level
Start the game with all three classes
Boost all your current equipment to the max
Beat your Nemesis
Find a glitched weapon
Boost an item to the max
Complete 1 Daily Run
Finish the tutorial
Beat the first boss
Play a swarm special level
Switch your class during a game
Play a graveyard level
You obtained all NeuroVoider trophies
Finish the game on Arcade mode
Loop the game twice on Arcade mode
Beat the third boss
Die 50 times
Spare FAT.32
Forge 10 rare (gold) items
Finish the game without using the repair function
Finish the game with the Unstable skill
Reboot the same level twice
Finish the game on Rogue mode
Loop the game twice on Rogue mode
Beat the game under 1 hour
Finish the game on Voider mode
Loop the game twice on Voider mode
Equip 2 glitched weapons at the same time
Finish the game with the hardcore skill