Here is the full list of all 43 CAPTAIN STARONE achievements.
Clear sub-mission "Enemy kill count" for the first time
Clear sub-mission "Boss kill count" for the first time
Clear sub-mission "Cleared stages" for the first time
Clear sub-mission "Unlock crew member" for the first time
Clear sub-mission "Crew firepower" for the first time
Clear sub-mission "Highest level achieved" for the first time
Clear sub-mission "Crew Combo count" for the first time
Clear sub-mission "Friendship Token count" for the first time
Clear sub-mission "Critical hit count" for the first time
Clear sub-mission "Ship Command count" for the first time
Clear sub-mission "Capsule usage count" for the first time
Clear sub-mission "Minerals gathered" for the first time
Clear sub-mission "Modules gathered" for the first time
Clear sub-mission "Skill points achieved" for the first time
Clear sub-mission "Unknown circuits gathered" for the first time
Clear sub-mission "Hyper-cores gathered" for the first time
Clear sub-mission "Alien contact count" for the first time
Clear sub-mission "Play time" for the first time
Clear all sub-missions for "Enemy kill count"
Clear all sub-missions for "Boss kill count"
Clear all sub-missions for "Crew firepower"
Clear all sub-missions for "Highest level achieved"
Clear all sub-missions for "Crew Combo count"
Clear all sub-missions for "Friendship token count"
Clear all sub-missions for "Critical hit count"
Clear all sub-missions for "Ship Command count"
Clear all sub-missions for "Warp count"
Clear all sub-missions for "Capsule usage count"
Clear all sub-missions for "Minerals gathered"
Clear all sub-missions for "Modules gathered"
Clear all sub-missions for "Skill points achieved"
Clear all sub-missions for "Unknown circuits gathered"
Clear all sub-missions for "Hyper-cores gathered"
Clear all sub-missions for "Alien contact count"
Clear all sub-missions for "Play time"
Clear main mission "100 Universes!"
Clear main mission "Warp Technology!"
Clear main mission "To the next dimension!"
Clear main mission "Hyper-Core Creation!"
Clear main mission "Neverending Universe"
Clear main mission "More the Merrier"
Clear main mission "All Aboard!"
Clear main mission "To infinity and beyond!"