Here is the full list of all 39 Pandemic: The Board Game achievements.
Eradicate your first disease.
Cure a disease.
Treat your first disease.
Complete the tutorial.
Eradicate 2 diseases in a game.
Eradicate 3 diseases in a game.
Eradicate all 4 diseases in a game.
Win a game on introductory difficulty.
Win a game on standard difficulty.
Win a game on heroic difficulty.
Win 5 games.
Win 15 games.
Win 40 games.
Win 100 games.
Win with 12 or more cards left in the player deck.
Win with 18 or more cards left in the player deck.
Win with 24 or more cards left in the player deck.
Win without triggering any outbreaks.
Win a game on the last round.
Win a game with the "dream team" (the medic, the scientist and the researcher).
Eradicate the virulent strain for the first time.
Save the world from a virulent strain at normal difficulty or higher.
Save the world from a virulent strain at legendary difficulty.
Find a cure for the purple disease for the first time.
Eradicate the purple disease for the first time.
Save the world from a mutation while having discovered the 5 cures.
Save the world from a mutation at normal difficulty or higher.
Save the world from a mutation at legendary difficulty.
Win a game with the virulent strain and a mutation at legendary difficulty.
Win at easy level or higher with the team: Researcher, Scientist.
Win at easy level or higher with the team: Contingency Pl., Dispatcher, Op. Expert, Quarantine Spec.
Save the world with 5 players at legendary difficulty.
Win at difficult level or higher with the team: Researcher, Epidemiologist, Archivist.
Win at difficult level or higher with the team: Medic, Quarantine Spec., Containment Specialist.
Win at difficult level or higher with the team: Scientist, Op. Expert, Field Op.
Win at difficult level or higher with the team: Dispatcher, Operation’s Expert, Troubleshooter.
Win at difficult level or higher with the team: Troub., Gen., Contingency Pl., Archivist, Field Op.
Win at legendary difficulty with the team: Researcher, Dispat., Op. Expert, Contingency Pl., Epidem.
Use the Discover a Cure action twice in a single turn.