Here is the full list of all 13 Lighthouse Simulator achievements.
Spend a day in this lighthouse
Stay in this lighthouse for 2 days
Stay in this lighthouse for 3 days
Stay in this lighthouse for 4 days
Stay in this lighthouse for 5 days
Stay in this lighthouse for 6 days
Stay in this lighthouse for 7 days
Stay in this lighthouse for 8 days
Stay in this lighthouse for 9 days
Stay in this lighthouse for 10 days
Stay in this lighthouse for 20 days
Stay in this lighthouse for 30 days
Stay in this lighthouse for 100 days