This quest appears after completing the quest Collect 'Em All: Attic Mode. The time between completing the quest and this quest being offered is just over two days.
Quest Text
You've found all the Aliens! Buzz has a reward for you... and one last request.
Buzz asks you to create a special place for the Alien Toys in Dreamlight Valley to make them feel more at home.
You created an out-of-this-world habitat for all forms of extraterrestrial life. All that remains is to take a picture to show Buzz.