Here is the full list of all 9 President for a Day - there are Floodings achievements.
Kill 20 rebels in a single game.
Achieve at least 85% standing with at least 4 of the 5 foreign relations.
Win the game with a Health score of at least 90%.
Win the game with a Control score of at least 90%.
Win the game with a Popularity score of at least 90%.
Fulfill and accept aid for 10 pleas in a single game.
Win a game with at least 1000 Political Power left unused.
Secure all your nukes in a single game.
Cure Cholera 10 times in a single game.