Here is the full list of all 24 Redactem achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Successfully complete Level 1 of World 1
Successfully complete Level 2 of World 1
Successfully complete Level 3 of World 1
Successfully complete Level 4 of World 1
Successfully complete Level 5 of World 1
Successfully complete Level 6 of World 1
Successfully complete Level 7 of World 1
Successfully complete Level 8 of World 1
Successfully complete Level 1 of World 2
Successfully complete Level 2 of World 2
Successfully complete Level 3 of World 2
Successfully complete Level 4 of World 2
Successfully complete Level 5 of World 2
Successfully complete Level 6 of World 2
Successfully complete Level 7 of World 2
Successfully complete Level 8 of World 2
Successfully complete Level 1 of World 3
Successfully complete Level 2 of World 3
Successfully complete Level 3 of World 3
Successfully complete Level 4 of World 3
Successfully complete Level 5 of World 3
Successfully complete Level 6 of World 3
Successfully complete Level 7 of World 3
Successfully complete Level 8 of World 3