Here is the full list of all 54 Deadly Days trophies - there are 48 bronze, 2 silver, 3 gold and 1 platinum.
Unlock all other trophies
Collect 50 scrap in one day
Collect 100 scrap in one day
Find an uncommon weapon
Find a rare weapon
Find a legendary weapon
Buy something from the vending machine
Use 3 different special powers in a day
Search all houses on a mission
Heal a survivor that is almost dead.
Kill 15 zombies at once.
Equip at least 4 survivors with uncommon weapons
Equip at least 4 survivors with rare weapons
Equip at least 4 survivors with legendary weapons
Survive until night without healing a survivor
Shut down the Factory!
Find and loot a secret house
Defeat the boss: Jack "Jumper"
Defeat the boss: Sam "Slimey"
Defeat the boss: Frank "The Monster" Stein
Accumulate 250 Scrap
Use 200 airstrikes in a run
Hunt down each type of special zombie!
Kill 15 giant zombies in a run
Unlock and fill all item slots
Win a run with only one survivor living
Win a run without any survivor deaths
Win the final wave with only melee weapons equipped
Win a run without upgrading any items or powers
Win the final day with all equipped items and powers upgraded
Complete a specialization
Complete all basic specializations
Complete the challenge specialization
Unlock all entries in the encyclopedia
Find a map piece
Find all 4 map pieces
Have 40 or more food
Find and interact with 3 billboards in a run
Reach a threat level of 40
Let one banana explode
Complete the tutorial
Complete a run within the daily challenge mode
Reach 10000 points in a daily challenge
Destroy all trees on a mission
Survive until minute 5 during nighttime
Complete a run with only perfect days
Spend 150 scrap on vending machines
Find all weapons once
Have 3 drones equipped at once
Loot 100 houses in one run
Accumulate 30 tools
Upgrade a custom weapon to tier 5
Build all 3 rooms in the base
Finish the game by building the rocket and flying into space