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