Here is the full list of all 29 Foundation achievements.
Survive the bad weather event without losing a villager
Purchase your first territory expansion
Build your first church
Amass 10,000 gold
Reach 100 population
Reach 500 population
Spawn the black sheep
Complete a military campaign
Complete all military campaigns
Promote a soldier to Knight
Study a blueprint
Study all blueprints
Build the Medicinal Garden Masterpiece whilst fulfilling its effect conditions.