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