Here is the full list of all 40 This Is the President achievements.
Beat the game on Normal
Lose the election to Wister
Finish the game with Alvaro still on your team
Finish the game with all your initial team members
Arrange an explosion at the Olympics
Get a 90% approval rating by July 2024
Appoint June as your Chief of Staff
Drive a team member to suicide
Adopt your own child
Hire Rizzuto
Appoint a Supreme Court Justice
Decline all of Maila's requests
Make friends with Russia
Pay back to the cartel
Get all your assets back
Sign the bill countering gaming addiction
Get 9 congressmen on your side
Accept the French President into your "cult"
Upgrade any bill to the max
Hire all the Glovers
Kill a random Canadian
Censor the internet
Pay Noah
Get 6 congressmen on your side
Reconcile two of your team members
Send a man to Mars
Throw a cocaine party
Change the national anthem
Sign an executive order
Visit Broadway
Make your first speech
Make and fulfill all available promises
Break every promise you make
Accept all of Maila's requests
Appoint Lachlan as your Chief of Staff
Don't lose a single team member throughout the game
Don't pay Christmas bonuses even once
Beat the game on Easy
Beat the game on Hard
Pay back to the "investors"