Here is the full list of all 42 Starlink: Battle for Atlas trophies - there are 25 bronze, 13 silver, 3 gold and 1 platinum.
Earn all Trophies
Discover every animal species in Atlas
Build a Starlink Tower on every planet
Get at least 25% alliance on every planet
Hit 5 targets with a single Stasis blast combo
Loot 10 derelict ships in space
Discover all the planets in Atlas
Defeat Grax
Extend Starlink's range to bring the fight to Grax
Neutralize 5 Outlaw Hideouts in Space
Ally with all 5 Outpost types
Defeat an Extractor or Prime with your shields down
Destroy a Dreadnought
In COOP, defeat a Prime together
Upgrade two sections of the Equinox to their maximum level
Spend 14 Skill Points on a single pilot
Build your first Expedition workshop
In COOP, repair your partner after they get shot down
Fill your ship with Epic or Legendary Mods
Record every Discovery on a planet
Find a Warden Relic
Time Active Shield perfectly to reflect an attack 10 times
Acquire a Legendary Mod
Gain 100% alliance on a planet
Earn 6 Pilot Skill points from mastering weapons
Use Fusion to craft a higher-level mod
Earn 3 skill points from mastering ships
Shatter 5 Frozen targets
Discover your first new planet outside the Trade Sector
Invest in a pilot's Mentor skill, to make your whole crew stronger
Equip 8 ship & weapon mods on a ship build, using Rare, Epic, or Legendary mods
Destroy A Prime
Use Heat to defeat an Ice Giant
Discover 5 Animal Species
Trap 3 targets in a single Gravity Vortex
Build 8 Equinox Upgrades
Thermal Shock 10 targets
Use Cold to defeat a Fire Giant
Defeat 10 targets by shooting at their weak spots using Precision weapons like Shredder
Map every part of a planet
Enter space from a planet for the first time
Equip your first mod