Here is the full list of all 13 Lich Clicker achievements.
Ruling is your deathright
Magic is Madness.
Spend 10000 souls on upgrades (over multiple games)
An undead puppet is for eternity.
Consume at least three souls at once
Collect 50000 souls in a single run
The world suffered your vengeance.
Maximize your Cleanser or your Trap
A well kept Graveyard is very relaxing.
Collect 25000 souls (over multiple games)
Religion is so useful.
True love is true sacrifice.
Collect 10000 souls (over multiple games)