Here is the full list of all 37 Neon Abyss trophies - there are 21 bronze, 11 silver, 4 gold and 1 platinum.
Defeat God of Violence.
Get 50 eggs in a single run.
Defeat Goddess of Illusion.
Opened 999 locked chests.
Defeat God of Electricity.
Stepped on worms 999 times.
Jumped 9999 times.
Defeat God of Machines.
Acquire 10 heart containers in a run.
Found 5 secret rooms in a row.
Successfully hatch eggs 5 times in a row.
Finish watching the credits.
Acquire 10 shields in a run.
Defeat God of Darknet.
Get killed by your own bombs.
Dance in the bar for 30 minutes.
Death is another beginning.
Collect all Trophies
Get killed by your own bomb while in the air.
Failed to hatch eggs 5 times in a row.
Get killed by environmental damage 9 times.
Unlock 6 Characters.
Died in the Abyss 99 times.
Found 99 secret rooms.
Completed the Piano challenge 10 times.
Fished 10 times in the fishing room.
Made deals with Smirk Co. 99 times.
Entered the Abyss for the 999th time.
Played the Roulette machine 99 times.
Jumped 10 times in the air before landing.
Defeat God of Machines without getting hurt.
Complete a run without losing any hearts.
Kill Athena in Abyssal Difficulty.
Complete a run without picking up any hearts.
Unlock Abyssal difficulty.
Empty 4 shops in a single run.
Defeat Argus without picking up any items.