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Deiland: Tiny Planet?
Edit:here's the playstore link.
It was given away for free on Steam for PC and is currently on sale for $1.49 on there.
There is an android game called "Deiland" which I think is inspired heavily from Animal Crossing. (Although it is also more RPG oriented but FREE to download)
https://play.google.com/store/apps/details?id=com.Xiibi.Prince&hl
It plays on a small planet and you control the main character. You have tasks like cutting trees + farming stone to build new things. It is not exactly like Animal Crossing but while I played it, I felt it would be very similar!
I've been watching Seri Pixel Biologist on YouTube lately and she plays Deiland Tiny Planet.