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