Here is the full list of all 37 Solar Struggle achievements.
Complete mission 3
Obtain only 10% accuracy in a mission
Achieve 100 kills in skirmish mode.
Achieve a 3x-multiplicator in skirmish
Put a gatling cannon into each slot of your ship in skirmish
Destroy your first boss enemy in skirmish
Improve a weapon or system in skirmish
Play skirmish for the first time
Complete mission 2
Complete mission 1
Complete mission 4
Complete mission 5
Complete mission 6
Complete mission 7
Complete mission 8
Complete mission 9
Complete mission 10
Complete mission 11
Achieve a 5x-multiplicator in skirmish
Achieve a 8x-multiplicator in skirmish
Achieve 1000 kills in skirmish mode.
Achieve 10000 kills in skirmish mode.
Complete the campaign.
Obtain ten thousand hits.
Obtain one hundred thousand hits.
Obtain one million hits.
Destroy the first destroyer in skirmish
Obtain one million points in one skirmish game
Obtain five million points in one skirmish game
Obtain ten million points in one skirmish game
Reach wave 5 in skirmish.
Reach wave 10 in skirmish.
Reach wave 20 in skirmish.
Put a plasma cannon into each slot of your ship in skirmish
Achieve 85% accuracy in the first mission
Finish the asteroid course in the first mission in under 19 seconds
Put a laser cannon into each slot of your ship in skirmish