Here is the full list of all 30 Space Run achievements.
Make all deliveries
Destroy a boading ship with the death ray ability
Bring back 10 alien toys in the delivery 'Chaotic run'
Use hyperspace ability during the delivery 'Asteroids on steroids'
Buy all engineering's modules and upgrades
Destroy 10 enemies or constructions in one activation of the fire rain ability
Destroy 25 ennemy ships during the delivery 'Astral journey'
Destroy 200 pirates during the delivery 'Bloody swarm'
Bring back 150% cargos or more in a BC delivery
Repair 1000 hit points in one activation of the mass repair ability
Destroy 5 enemies or constructions in one activation of the burn ability
Make a delivery for each freight company
Buy all offensive modules
Build 5 construction in 5 seconds
Loot 50 000 hexnuts
Reach 1000 thrust power during a delivery
Use the tactical break ability 2 times during a delivery
Recycle 5 constructions during a delivery
Destroy a boarding ship
Buy the three upgrades of a module
Buy a power generator
Destroy 10 enemy ships
Meet Brandon Richards
Get 10 weapons built on your ship
Get 5 reputation points at the end of a delivery
Make your first delivery
Get 150 reputation points
Turn 5 pirates into allies in one activation of the IFF jammer ability
Destroy 2 enemy ships with a single nuke
Destroy 'The Eye' of Captain Black in less than 60 seconds