Here is the full list of all 27 Lux Delux achievements.
Win a multi-player online game
Win a game.
Eliminate 2 players in one turn
Win 100 games
Win 10 different maps.
Win 100 different maps.
Download a map plugin
Beat 4 Reaper AIs
Beat 5 Reaper AIs
Craft a map into the Plugin Manager
Win 100 multi-player online games
Win an online full-house game
Win 100 online full-house games
Become aware of Lux's sister, the team-based simultaneous-turns game Castle Vox
Beat the Ancient Empires Lux campaign on King difficulty or higher
Beat the American History Lux campaign on Major difficulty or higher
Win a game in 5 rounds or less
Win 500 different maps
Eliminate all 5 other players in one turn
Win an Online Tournament
Decimate a large army down to 1 using the Z-click hotkey
Divide a large army using the 2-9 divisor hotkeys
Win a game against 5 BotOfDoom AIs
Win an online 6 human game on the Classic map
Win an online 6 human game on the Biodeux map
Win an online 6 human game on the Imperium Romanum Expletus map
Win an online 6 human game on the Map of the Month