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