Multiple dimensions mean multiple genres.
Should I be a shamed to say that Himouto Umaru-chan is my favourite
Sora no Woto is quite SoL, at least for the first 3/4 or so
Aside from YKK, none of those are Slice of Life.
Not Slice of Life
no and no.
>Ojamajo Doremi and Yuyushiki
Slice of Life isn't cute girls having fun, and don't confuse it with Iyashikei "healing" anime.
Slice of Life is where the show's primary focus is on the minutia of the characters daily life. That's why even somewhat exotic, futuristic settings like in Aria or YKK, or spooky, otherworldly settings as in Mushishi can be considered Slice of Life.
>Azumanga Daioh not being an SoL
Except for the fact that it set the standard for a lot of SoLs these days.
Inami is best.