Here is the full list of all 37 Rebel Galaxy achievements. It takes around 50-60 hours to unlock all of the achievements on Windows.
Shoot down 500 torpedoes
Destroy 2,500 Fighter-Class Craft
Destroy 1,000 Capital-Class Craft
Break 10 blockades
Collect 100 bounties
Kill 20 Pirate Lords
Purchase a Dreadnaught-class ship
Reach a Net Worth of 50 Million Credits
Complete 50 missions from the mission board
Mine 50 asteroids using a Fault Tracker
Successfully bribe a Militia official
Become friendly to the Militia
Complete the main campaign
Find the Face of Gozu
Find a Progenitor Shard
Find an Antimatter Speck
Reach a Net Worth of 5 Million Credits
Rescue 20 merchants
Reach rank 5 in any Guild
Gather 200 objects with a tractor beam
Purchase a Destroyer-class ship
Hack 10 transponders successfully
Salvage 50 Containers
Break 1 blockade
Pirate a merchant
Destroy 250 Fighter-Class Craft
Destroy 100 Capital-Class Craft
Join the Mercenaries' Guild
Kill 1 Pirate Lord
Jump out of the first solar system
Collect 10 bounties
Trade with a Merchant while in flight
Purchase a new ship
Join the Merchant's Guild
Woke Trell
Become neutral to pirate factions
Hire a mercenary