Here is the full list of all 59 Resistance 3 trophies - there are 53 bronze, 4 silver, 1 gold and 1 platinum.
Complete Campaign Mode on any difficulty
Use the EMP to take down 25 drones
Kill 3 or more Military Chimera with a single Grenade
Fully upgrade all weapons in Campaign Mode
Kill 40 Bullseye tagged enemies
Kill 50 enemies with the Bullseye or Marksman while moving, without using zoom
Use the upgraded Deadeye secondary fire to kill 2+ enemies, 5 times
Use the upgraded Rossmore secondary fire to set 6 enemies on fire at once
Use the Wildfire secondary fire to kill 6 enemies in one shot
Kill 25 Grims using only grenades
Use the EMP to take down 10 Steelhead Auger shields
Freeze and melee kill 3 Ravagers
Kill 25 enemies firing the Auger through an object
Destroy all Warden vehicles in the Motorpool
Freeze 5 enemies at once and destroy them with a blast of the Cryogun's secondary fire
Kill 3 enemies simultaneously using a single mutated body
Make 6 Wardens puke at the same time in the prison
Get 5 headshot kills with one Deadeye clip
Use the Deadeye to kill 20 snipers
Kill 1000 enemies
Get a kill with every weapon in your arsenal
Travel in 3 different vehicles on your journey
Travel 30 km on foot
Kill 5 drivers without destroying their vehicle
Upgrade 5 weapons in Campaign Mode
Use the Atomizer secondary fire to kill 30 enemies
Kill 2+ enemies with one Rossmore blast
Collect 50% of the journals
Detonate multiple Magnum rounds to kill 2+ enemies at once, 5 times
Kill 20 enemies with environmental objects
Destroy 100 blast roots
Fully upgrade one weapon in Campaign Mode
Defeat the Brawler in the Post Office in under 2 minutes
Get 50 headshot kills in Campaign Mode
Collect 10 journals
Kill 5 Longlegs in mid-jump
Obtain all Gold, Silver, and Bronze Trophies for Resistance 3
Complete Campaign Mode on Superhuman
Collect all journals
Damage the same enemy in Cooperative Mode for 100 kills
Defeat the Stalker in under 60 seconds
Kill the Brawler in Haven without taking any damage
Make Santa and his reindeer fly
Keep Chimeran forces from entering the Brewpub
Collect all Deadeye rifles without dying while fighting the Widowmaker in St. Louis
Knock a Hybrid off the cliffs in Mt. Pleasant, PA
Get to the first mineshaft without being hit by sniper fire in Mt. Pleasant, PA
Destroy 10 Warden vehicles while on the train
Find and kill 'Jack' in Graterford Prison
Defeat the Widowmaker in Times Square without killing a single Hybrid
Don't allow any counter-attackers into the Washington Square base
Detonate fallen Leeches to kill 25 enemies
Kill 5 Grims in a row with only headshots
Simultaneously burn, freeze and poison 4 separate enemies
Score a basket by lobbing a grenade through a basketball hoop
Kill 20 enemies with melée while they are idle
Absorb 1000 damage with Auger Shields
Kill 5+ Hybrids at once by using the HE .44 Magnum secondary fire
Revive a Co-op player 20 times