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
Kill 3 or more Military Chimera with a single Grenade
Get a kill with every weapon in your arsenal
Collect 50% of the journals
Use the Deadeye to kill 20 snipers
Kill 1000 enemies
Travel in 3 different vehicles on your journey
Kill 5 drivers without destroying their vehicle
Upgrade 5 weapons in Campaign Mode
Detonate multiple Magnum rounds to kill 2+ enemies at once, 5 times
Travel 30 km on foot
Destroy 100 blast roots
Fully upgrade one weapon in Campaign Mode
Collect 10 journals
Kill 20 enemies with environmental objects
Kill 50 enemies with the Bullseye or Marksman while moving, without using zoom
Get 50 headshot kills in Campaign Mode
Make Santa and his reindeer fly
Kill 25 enemies firing the Auger through an object
Kill 5 Longlegs in mid-jump
Obtain all Gold, Silver, and Bronze Trophies for Resistance 3
Complete Campaign Mode on Superhuman
Fully upgrade all weapons in Campaign Mode
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
Keep Chimeran forces from entering the Brewpub
Defeat the Brawler in the Post Office in under 2 minutes
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
Make 6 Wardens puke at the same time in the prison
Find and kill 'Jack' in Graterford Prison
Destroy all Warden vehicles in the Motorpool
Defeat the Widowmaker in Times Square without killing a single Hybrid
Don't allow any counter-attackers into the Washington Square base
Use the EMP to take down 10 Steelhead Auger shields
Kill 25 Grims using only grenades
Detonate fallen Leeches to kill 25 enemies
Kill 3 enemies simultaneously using a single mutated body
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
Freeze 5 enemies at once and destroy them with a blast of the Cryogun's secondary fire
Freeze and melee kill 3 Ravagers
Kill 20 enemies with melée while they are idle
Use the upgraded Deadeye secondary fire to kill 2+ enemies, 5 times
Use the EMP to take down 25 drones
Use the Atomizer secondary fire to kill 30 enemies
Use the Wildfire secondary fire to kill 6 enemies in one shot
Use the upgraded Rossmore secondary fire to set 6 enemies on fire at once
Kill 40 Bullseye tagged enemies
Get 5 headshot kills with one Deadeye clip
Kill 2+ enemies with one Rossmore blast
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