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