Here is the full list of all 13 Lumini achievements.
Complete the game in Hard mode
Unlock all models and concept art in the Extras menu
Beat the game with a purple Lumini
Don't beat a single enemy
Don't lose a single Lumini
Bring a dead enemy to the Sanctuary
Play the Lumini theme using the note blocks at the Sanctuary
Collect all energy
Play with the main menu buttons for 3 minutes
Complete the game
Fully evolve all Lumini types
Beat every enemy in the game
Beat 5 enemies with a bomb