Here is the full list of all 16 Star Traders: 4X Empires achievements.
Research 50 Techs successfully
Capture a Xeno System with 8+ Quality
Reduce a Xeno System to 0 Quality
Destroy 3 Xeno Ships in one Turn
Research 25 Techs successfully
Achieve 3 Trade Routes simultaneously
Win Tutorial Level on Normal Difficulty
Destroy 6 Xeno Ships in one Turn
Destroy 9 Xeno Ships in one Turn
Win a game against 3 Xeno Enemies
Research 100 Techs successfully
Research 200 Techs successfully
Achieve 3 Trade Alliances simultaneously
Achieve 3 Alliances simultaneously
Win a game with the 3 Clans on Hard
Win a game with the 3 Syndicates on Hard