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