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