Complete the following tasks to unlock PlayStation trophy rewards.

Trophy	How to unlock
Achilles Approves (Bronze)	Destroyed 900 Hectors.
Ant Repellant (Bronze)	Defeated 20,000 ant-type bugs.
Call a Taxidermist, I Have an Idea (Bronze)	Destroyed 30 Erginuses.
Carrier Harrier (Bronze)	Destroyed 500 carriers.
Countless Screaming Argonauts (Bronze)	Destroyed 20 Argos.
Dent-ified Flying Objects (Bronze)	Destroyed 2000 flying vehicles.
Deroys Destroyed (Bronze)	Defeated 200 Deroys.
Do You Have a Permit for That? (Silver)	Obtained 50% of all available weapons.
Does Whatever a Spider Can't (Bronze)	Defeated 12,000 spider-type bugs.
Dragon Fall (Bronze)	Defeated 2400 Dragons.
Drones Pwned (Bronze)	Destroyed 5000 flying drones.
Got the Bees! Got the Bees! (Bronze)	Defeated 4000 flying-type bugs.
Higher and Higher (Bronze)	Reached a height of 200 meters.
I Got a Permit For This One (Gold)	Obtained all available weapons.
I Just Really Hate Tunnels (Bronze)	Destroyed 200 underground tunnel exits.
Jumping Ship (Bronze)	Destroyed 200 large transport ships.
Just Doing My Job (Silver)	Rescued 50 other players in co-op play.
Kings are Dropping Like Flies (Bronze)	Defeated 40 king spiders.
Let Them Eat Cake (Bronze)	Defeated 24 queens.
More Like Dead Queens (Bronze)	Defeated 24 death queens.
Net Loss (Bronze)	Defeated 360 Retiarii.
Quadrupeds Quelled (Bronze)	Destroyed 12 quadruped fortresses.
Reaving the Nest (Bronze)	Destroyed 6 flying-type bug nests.
Red Dead Robotics (Bronze)	Destroyed 150 red drones.
Shields Yield (Bronze)	Defeated 120 shield bearers.
The Brains in Pain Fall Mainly for Your Gain (Bronze)	Destroyed 6 Brains.
This is My Rifle, This is My Gun (Bronze)	Obtained 10% of all available weapons.
Thou Hast Done Well (Bronze)	Defeated 20 Greater Wild Dragons.
Wait Till Your Fathership Gets Home (Bronze)	Destroyed 6 motherships.