Googling "slice of life anime -supernatural" might get you somewhere.

Having a plot kinda contradicts the idea of slice of life if you ask me. That said you could try raildex if you haven't already, that kinda has some slice of life elements to it.

>>24054
Isn't magic a supernatural element?

>>24056
sure I guess? For that matter there's also kamichu.

ROD TV has slice-of-life eps that an action watcher can skip.

>>24053
I prefer the term "healing"

>>24114

Most iyashikei series are episodic. Actually, it's more like 'almost all of them'.

Then again Tamayura is actually more or less what OP might be looking for, seeing as the plot sorta kinda goes somewhere.

>>24056
Oh I didn't notice you asked for "non-supernatural", my mistake I read that as just "supernatural". Yeah kamichu and raildex wouldn't be for you then.
Pretty sure non-supernatural semi-slice of life anime are actually not uncommon. this season we've got gochuumon and yuru, and last season there was non non.
Still, a continuous plot is a bit of another matter as most of these shows are episodic comedies with no over arcing story line most of the time. First thing that comes to mind is aria, in which they're slowly training to become undines over the course of the show.

Kokoro Toshokan, maybe? A lot of the episodes are self contained, but there is a clear overarching plot to it. Guaranteed supernatural free.

>>24115

Ah, Tamayura was already on my to-watch list. Didn't know it had a continuous plot though, I'll move it up on my list.

>>24118

Didn't know of the Aria series. Looks kind of nice.