Here is the full list of all 27 Lux Delux achievements.
Win a game in 5 rounds or less
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 a multi-player online game
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 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