Here is the full list of all 33 Starfighter: Infinity achievements.
Complete a mission
Discover every sector in the Delta Trianguli Star System
Discover all the crafting blueprints available in Delta Trianguli
Scan all the scannables in Delta Trianguli
Destroy an enemy AI ship while piloting an escape pod or survival pod
Craft an Item
Get 3 stars on the EE star system map by exploring, scanning and collecting blueprints
Reach a speed of 100 su/s or more
Get 3 stars on the De star system map by exploring, scanning and collecting blueprints
Get 3 stars on the An star system map by exploring, scanning and collecting blueprints
Get 3 stars on the ACr star system map by exploring, scanning and collecting blueprints
Get 3 stars on the Re star system map by exploring, scanning and collecting blueprints
Get 3 stars on the MnA star system map by exploring, scanning and collecting blueprints
Destroy a non playable race boss
Get 3 stars on the Al star system map by exploring, scanning and collecting blueprints
Get 3 stars on the EAu star system map by exploring, scanning and collecting blueprints
Get 3 stars on the Ca star system map by exploring, scanning and collecting blueprints
Get 3 stars on the IoL star system map by exploring, scanning and collecting blueprints
Get 3 stars on the Be star system map by exploring, scanning and collecting blueprints
Get 3 stars on the Si star system map by exploring, scanning and collecting blueprints
Get 3 stars on the Sa star system map by exploring, scanning and collecting blueprints
Get 3 stars on the EIn star system map by exploring, scanning and collecting blueprints
Get 3 stars on the CEn star system map by exploring, scanning and collecting blueprints
Reach level 100 with a character
Reach level 200 with a character
Reach the rank of Midshipman/Skirmisher (level 3) with a character
Reach the rank of Lieutenant/Warrior (level 15) with a character
Reach the rank of Captain/Champion (level 45) with a character