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