Oh man, I know plenty, I love those!
I'm surprised no one mentioned Ultramarine Weather, it's a very fluffy fantasy drama:
Actually I think many stories with a "magical boy" with fit this as they tend to be romance rather than action.
One example is this is mine
It's pretty slice-of-lifey with bits of psychological drama. There's a major plot with a villain and stuff and it's still pretty local and the character barely leave the school.
There's also Magical Boy Basil, Witch of Luminoza and Magical Boy Troubles. All of them share similar tropes. I don't know if their stories will scale for something bigger, but so far they're been pretty much slice of life drama too.
The last ones may not have actual magic but they are drama featuring mythological creatures.