Here is the full list of all 55 RISK: Global Domination achievements.
Defeat 50 computer or human players
Play the same map 10 times
Defeat 10,000 enemy troops
Compete in a game that lasts 15 turns or more
Turn in 50 sets of Territory cards
Defeat 25 computer or human players
Claim 50 cards from defeated players
Defeat 5 expert AIs in a single game of Classic World Domination Map
Defeat 5,000 enemy troops
Draft 1,000 troops
Lose 3 games in a row
Lose 3 games
Defeat 1,000 enemy troops
Turn in 10 sets of Territory cards
Draft 250 troops
Conquer 15 territories in a single turn
Conquer 10 territories in a single turn
Win 1 single player game
Conquer 5 territories in a single turn
Make an in-app purchase
Turn in 100 sets of Territory cards
Defeat 100 computer players
Defeat 100 human players
Draft 10,000 troops
Defend 5 attacks in a row
Defend 10 attacks in a row
Defend 15 attacks in a row
Be eliminated before your first turn
Lose 10 games
Lose 50 games
Defeat 5 expert computer players in a single game of the French Revolution map
Achieve 200 victories
Win 1 "Play Online" multiplayer game
Win 25 "Play Online" multiplayer games
Win 50 "Play Online" multiplayer games
Win 100 "Play Online" multiplayer games
Win 25 single player games
Win 50 single player games
Win 100 single player games
Form 1st alliance
Form 25 alliances
Form 50 alliances
Agree to 10 "let's attack" requests
Make one new global multiplayer friend
Break 5 alliances
Play an online multiplayer game
Play 100 RISK games
Hold 9 Territory cards at once
Express yourself through 10 Emojis
Roll 4 sixes in a row
Roll 4 ones in a row
Play 5 games with different avatars
Click on privacy links
Tap on most of the help tooltips
Start a game using Automatch