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