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