Here is the full list of all 30 Space Run Galaxy achievements.
Finish Story Missions of Gargantua System
Buy 20 multiplayer sales
Buy all secret delivery highways and spot maps
Craft 1 of each existing module
Reach Level 15
Finish Story Missions of Kwartz System
Have 50 materials successfully transported by other players (using multiplayer contracts)
Finish a delivery with cargo of at least 40 freight value
Finish Story Missions of Titan System
Have 20 multiplayer sales bought by other players
Have 10 ships
Reach Level 10
Destroy a Boss
Kill a boss in less than 10 seconds
Create a multiplayer sale
Finish Story Missions of Veyra System
Create a multiplayer contract
Have 20 extra empty cells
Get a new ship
Transport a material for another player (using player contracts)
Reach Level 5
Buy a multiplayer sale
Buy a secret delivery highway or spot map
Craft 5 elements at the Mechanic
Reach Level 2
Reach Level 20
Transport 500 materials for other players (using player contracts)
Send a gift to a friend
Transport 50 materials for friends (using player contracts)
Craft 200 elements at the Mechanic