Collect and give all the obelisks and arcana to Agnet. Without Lilith

Talk to Agnet at the very beginning of the game to unlock the achievement.

Collect 9 Arcana and return them to Agnet

Make a deal with Baphomet to unlock the achievement

Destroy the first 10 "distortions" to unlock the achievement

Finish the game, give the arcana to Agnet and collect all the artifacts of Agnet and Lilith and

Finish the game with the ending - Lilith

Find Lucille and talk to her to unlock the achievement

Complete the games by going back in time