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