The saga continues!
But in this case, I'm not even really going to need a cut. My reaction is, er, what? My understanding of "slice-of-life" is basically mundane anime following ordinary life events, or at most it'd be ordinary life events happening to strange people (e.g., if "Harry Potter" didn't involve Voldemort but just was Harry growing up in a wizarding academy it might be a slice-of-life story). And I can't offhand think of any such anime that I've seen and watched more than a small part of, so my answer is... none, as far as I know.
Subject to change if I suddenly have a revelation.
EDIT: I had a revelation!
Yes, there's one slice-of-life anime I've watched and enjoyed: the bizarre Koko Wa Greenwood (Here is Greenwood), the story of a young man , Kazuya, at a boy's boarding school and his misadventures with the rather peculiar cast of characters who inhabit his dorm, starting with Shun (who looks enough like a girl to fool just about anyone -- what IS it about boys named "Shun" in anime, anyway?) and ending with the sadistically manipulative yet so cool people forgive him Shinobu. ("people" in this case doesn't include me; I detested Shinobu!). His misadventures range from dealing with his crush on his brother's wife to being trapped into one of the most peculiar school plays ever performed.
Day 1 - Very first anime:Saint Seiya
Day 2 - Favourite TV series: : The Vision of Escaflowne
Day 3 - Your anime crush: Belldandy, from Ah! Megamisama/Ah/Oh My Goddess! and Shun from Saint Seiya
Day 4 - Favourite Film: Tonari no Totoro/ My Neighbor Totoro
Day 5 - Anime character you feel you are most like (or wish you were): Shikamaru from Naruto Shippuden
Day 6 - Most annoying anime character: Mihoshi, Tenchi Muyo!
Day 7 - Character you’d most like to slap: Sasuke, Naruto Shippuden
Day 8 - Most epic scene ever: End battle of YuuYuu Hakusho: The Poltergeist Report Movie
Day 9 - Saddest anime scene: Belldandy erasing herself from Keiichi's life in Ah! Megamisama/Ah/Oh My Goddess!
Day 10 - Favorite slice of life anime: Koko wa Greenwood
Day 11 - Favorite mech series
Day 12 - Best instalment of a franchise you don’t like
Day 13 - Worst instalment of a franchise you do like.
Day 14 - Current (or most recent) anime wallpaper
Day 15 - A reality check for a genre you like
Day 16 - An anime classic that simply doesn’t work for you.
Day 17 - Best Background Music
Day 18 - Best Five-team (?)
Day 19 - Change you’d like to make to any one anime
Day 20 - Most ambiguous anime character
Day 21 – Favourite OAV Series
Day 22 - Animation studio you'd most like to slap.
Day 23 - Anime you think had the best, or most intriguing art
Day 24 - Favorite anime hero or heroine
Day 25 - Best anime villain
Day 26 - Your favorite harem anime
Day 27 - Favorite anime opening theme song
Day 28 - Favorite anime companion/summoned creature
Day 29 - Best Anime Music Video
Day 30 - Favorite anime ending theme