Here is the full list of all 13 Lucid Dream achievements.
Help the Moon.
Escape from the house.
Make deal with Oneiromancer.
Find your way back to the dream.
Free the lost soul.
Summon Metatron.
Open the gate to the congress.
Rescue Chiron from eternal pain.
Resolve Dr. Frank's riddle.
Find the way to change the past.
Escape from the nightmare.
Defeat the astral worm.
Get back your mother.