Here is the full list of all 13 Lumini achievements worth 1,000 gamerscore. It takes around 2-3 hours to unlock all of the achievements on Xbox One.
Complete the game
Play the game in Hard mode
Bring a dead enemy to the Sanctuary
Play a note block at the Sanctuary
Stay at Crystal Nest for at least 1min
Evolve all Lumini types
Beat an area with one purple Lumini in your swarm
Killed 10 enemies in the game
Clear an area without defeating any enemy
Collect 50 energy plants in the game
Lose 1 lumini
Beat 5 enemies with a bomb
Unlock 5 models and concept art in the Extras menu