Here is the full list of all 38 Rebel Galaxy trophies - there are 16 bronze, 19 silver, 2 gold and 1 platinum.
All Trophies Collected
Destroy 1,000 Capital-Class Craft
Kill 20 Pirate Lords
Destroy 2,500 Fighter-Class Craft
Collect 100 bounties
Mine 50 asteroids using a Fault Tracker
Become neutral to pirate factions
Shoot down 500 torpedoes
Break 10 blockades
Become friendly to the Militia
Complete the main campaign
Reach a Net Worth of 50 Million Credits
Purchase a Dreadnaught-class ship
Find the Face of Gozu
Find an Antimatter Speck
Find a Progenitor Shard
Gather 200 objects with a tractor beam
Purchase a Destroyer-class ship
Kill 1 Pirate Lord
Salvage 50 Containers
Complete 50 missions from the mission board
Hack 10 transponders successfully
Break 1 blockade
Reach a Net Worth of 5 Million Credits
Destroy 100 Capital-Class Craft
Reach rank 5 in any Guild
Hire a mercenary
Rescue 20 merchants
Join the Mercenaries' Guild
Destroy 250 Fighter-Class Craft
Jump out of the first solar system
Successfully bribe a Militia official
Purchase a new ship
Pirate a merchant
Collect 10 bounties
Join the Merchant's Guild
Trade with a Merchant while in flight
Woke Trell