Here is the full list of all 64 Hexarchy achievements.
Pillage 5 Wonders and burn 5 Wonder cards in a game
Build a city on another continent
Build a boat
Finish top 5 on a Daily Challenge leaderboard
Win 5 weekly hegemon rounds
Win a weekly hegemon round at the Knight contribution level
Win a weekly hegemon round at the Hero contribution level
Win a weekly hegemon round at the Legend contribution level
Complete a weekly hegemon round at the Legend contribution level
Complete 4 straight Weekly Campaigns
Complete 10 straight Daily Challenges
Be first place on the Daily Challenge leaderboard
Claim 500 enemy hexes with culture
Deal 100 damage in a single hit
Win a weekly hegemon round at the Squire contribution level
Place first in 20 multiplayer ranked games
Capture 100 enemy cities
Have a unit survive 10 battles
Resume 5 Games
Complete 3 straight Daily Challenges
Resume a Game
Control all 13 Wonders in a single game
Grow a city to 30 population
Adopt 200 Civics
Pillage 50 enemy cities
Construct 200 Wonders
Place top 3 in 20 ranked multiplayer games
Get 1st place in a game with all 10 civilizations
Control 15 cities
Control 10 cities
Eliminate every player on a large map
Win a game with only one city
Control 100 hexes
Complete a Weekly Campaign
Pillage 5 enemy cities in a single game
Kill a unit from every player on a large map
Grow a city to 20 population
Deal 50 damage in a single hit
Win a game without building any Wonders
Win a game using only Ancient technology
Win a game without researching any technology
Place top 3 in 10 ranked multiplayer games
Research 400 Technologies
Complete 10 ranked multiplayer game
Have a unit survive 5 battles
Win a game without fighting with your units
Grow a city to 10 population
Win a game without attacking with your units
Burn the Great Library card
Control 5 cities
Pillage an enemy city
Complete a Daily Challenge
Control 50 hexes
Research all 24 Techs in a single game
Place top 3 in a ranked multiplayer game
Win a ranked multiplayer game
Lose a multiplayer game
Complete the Starter Campaign
Grow a city to 5 population
Capture an enemy city
Be first place on the Weekly Campaign leaderboard
Kill 25 enemy units in a ranked multiplayer game
Finish first place on a Daily Challenge leaderboard
Finish first place on a Weekly Campaign leaderboard