Here is the full list of all 30 Space Run Galaxy achievements.
Transport a material for another player (using player contracts)
Finish Story Missions of Veyra System
Have 20 extra empty cells
Get a new ship
Reach Level 5
Buy a secret delivery highway or spot map
Buy a multiplayer sale
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
Create a multiplayer contract
Have 50 materials successfully transported by other players (using multiplayer contracts)
Transport 500 materials for other players (using player contracts)
Create a multiplayer sale
Have 20 multiplayer sales bought by other players
Buy 20 multiplayer sales
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
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