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