Here is the full list of all 30 Light of Altair achievements.
Raise fleet level to Elite
Win all missions on Normal difficulty
Win all missions on Hard difficulty
90% of objectives complete
Build an Atmospheric Converter
80% of objectives complete
70% of objectives complete
Build a Hyperspace Gate Stabiliser
Raise fleet level to Deadly
Build a Nuclear Reactor
Raise fleet level to Dangerous
60% of objectives complete
Build a Goods Factory
Build an Aeroponics Dome
50% of objectives complete
Build a Government Building
Upgrade a colony to a MegaCity
Upgrade a colony to a City
40% of objectives complete
Raise fleet level to Veterans
30% of objectives complete
Upgrade a colony to Tier 3
Raise fleet level to Hardened
20% of objectives complete
Raise fleet level to Experienced
10% of objectives complete
Upgrade a colony to Tier 2
Found a new colony
Upgrade a colony to Tier 1
100% of objectives complete