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