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