For the longest time now, I've been thinking about a list that serves the same purpose as this list and this list. Will update as best I can.

Adult (non-hentai) Anime | public list Rating
Belladonna of Sadness (movie) Excellent
Bunny Drop (TV) Masterpiece
Descendants of Darkness (TV) Very good
Her Blue Sky (movie) Masterpiece
Kakuriyo -Bed & Breakfast for Spirits- (TV) Excellent (dub & sub)
  1. Setup.
  2. An elderly Tengu reminisces about Grandpa.
  3. An ayakashi seeks to avoid being sold as a concubine.
  4. Aoi seems to be running an infirmary.....
  5. Aoi makes a round trip.
  6. Aoi opens (with a little help from her friends!) the Moonflower Restaurant
  7. Business at the Moonflower is improving!
  8. Aoi gets kidnapped during an extended shopping trip.
  9. She gets rescued, but what happened to her 5-leaf fan? Apparently the Master had it? An investigation begins.....
  10. So the Tenjin-ya has old-style telephones.....
  11. 2 star-crossed romantics.
  12. Lost children and flavored, shaved ice.
  13. A day off for everyone.
  14. Unwelcome visitors ─ talk about being spirited away.....
  15. Something is going down.....
  16. Dealing with a spoiled princess is always such a pain.....
  17. Orio-ya blows up!
A bit late to be wondering about this, but where was Aoi's father when her mother left?
  1. Father and son reconcile.
  2. Aoi agrees to perform a dangerous task.
  3. I must say that I'm enjoying this burgeoning romance between two adults.....
  4. Drunken toads.
  5. The traitor unsettles Aoi.
  6. The traitor mutes Aoi.
  7. They enter and return from the picture.
  8. And the penultimate episode ends on a cliffhanger!
  9. The "threat" turns out to be a lonely child!
Great graphics/animation, nice story; I'm rating this at 10/11 (Excellent). ADDENDUM:
I cannot believe that this did not occur to me until just now, but, like all Far Eastern cultures, Japanese culture has this bad habit of "visiting the sins of the fathers upon the sons." So ─ in this situation ─ wherein Aoi must atone for her grandfather's sin, the concept is so obvious in Japanese culture that the connection wouldn't even warrant any explanation for a cartoon that is intended for a Japanese audience.
Looking for Magical DoReMi (movie)
Miss Kobayashi's Dragon Maid (TV) Excellent (dub), Masterpiece (sub)
Okusama wa Maho Shojo (TV) 13 ep.s
A Place Further Than the Universe (TV) Masterpiece
Yes, the main characters are high school girls, but the themes are all adult.
Recovery of an MMO Junkie (TV) Excellent (dub), Masterpiece (sub)
Saga of Tanya the Evil (movie) Excellent
Sword Art Online Alternative: Gun Gale Online (TV) Very good (dub & sub)
Violet Evergarden I: Eternity and the Auto Memory Doll (movie) Masterpiece (dub & sub)
Wotakoi: Love is Hard for Otaku (TV) Masterpiece