Here is the full list of all 23 Last Days of Old Earth achievements.
Build and Save a valid Automata Deck
Build and Save a valid Skywatchers Deck
Play a multiplayer game
Win 10 multiplayer games
Win 40 multiplayer games
Win 100 multiplayer games
Assassinate 10 enemy Heroes
Assassinate 50 enemy Heroes
Sabotage 10 Structures
Sabotage 20 Facilities
Perform 10 successful Hero Escapes
Perform 50 successful Hero Escapes
Build 100 Collectors
Build 100 Outposts
Complete Chapter 7 of the Campaign
Complete Chapter 9 of the Campaign
Complete Chapter 5 of the Campaign
Win Combat without Auto-Resolving x1
Win Combat without Auto-Resolving x20
Win Combat without Auto-Resolving x50
Destroy 10x Units in Combat
Destroy 50x Units in Combat
Destroy 1000x Units in Combat