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