I've been watching anime (duh, like I ever don't) and there's a new one running now on Crunchy Roll that is just too cute.
It's called "How To Keep A Mummy", and it's about ordinary high-schoolers who end up with little versions of mythical animals. The first one is a young man who lives with his aunt because his dad is some sort of archeologist/adventurer who sends home a mummy for him to take care of. Only, instead of being some sort of linen wrapped eldritch horror, it's a tiny cute little squishy thing that tries to help and eats shirataki. His grumpy friend ends up with an adorable baby oni (demon/ogre), a bubbly girl in his class ends up with a small dragon that fits nicely into her backpack, and the grumpy delinquent ends up with a fuzzy, purple sheep-like thing called a baku, which is another type of Japanese spirit with a habit of eating nightmares (which that guy has a lot of).
The story is about them all figuring out how to relate to and care for their particular critter. There's some drama, but it's mostly just a gentle story of getting through the day. The humans are typical kids, and the critters, the mummy in particular, steal the show. Just pure, weapons-grade adorableness all over.
No one has explained what they actually are, or why they choose to move in with humans. There's some hinting that it's not always good. There are bad people out there, but we haven't run directly into any of that yet.
No one is shrieking about winning anything or shouting some complicated name for their next left turn. No bangs or flashes. If you want a calm, relaxing show and a dose of pure cute, I'd give this a try.