Berserk, Space Dandy, Cowboy Bebop, Akira, Kaiba.
I asked her what she wants out of an anime: immersive with characters that can be invested in, psychological themes, distinctive art style
What she doesn't want: Shonen, fanservice
She also placed an emphasis on wanting strong female characters.
For Berserk: Record of Lodos War, Baccano, Vampire Hunter D
For Space Dandy: Samurai Champloo, Red Line
For Cowboy Bebop: Outlaws Star, Black Lagoon,
For Akira:Steam Boy
For Kaiba: Full Metal Alchemist, Scrapped Princess.
Invested in Characters:
Chihayafuru -female lead lots of drama
Master Keaton, Erased, Anohana, HAL, Boy and his Beast, Wolf's children, Summer Wars, Black Jack (go with the newer series), Moriarty series, Brand new animal, Legend of the Galactic Heroes,
Decadence, Black Lagoon, recent conman anime
Psychological themes:
Spice and Wolf, Monster, Parasite, Blood series, Black Butler (Season 1, Book of Circus, Book of the Atlantic), Shiki
Art Style:
Akayashi, Lupin, The world ends with you, Paradise Kiss, Escaflowne, Shiki,
Female leads:
Sailor Moon Crystal, Escaflowne, Rose of Versailles, Pat Labor, Gintama,
If your looking for the above go after Joseph titles, that would be series for older women.
Also want a laugh, old dub of Ghost stories
I'd also Recommend Avatar the last air bender.