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