I'd need to hear a high amount of praise, from people whose opinions generally concur with mine, for these titles to leave this section.

Not really my sort of thing Comment
Witch Hunter Robin (TV) Too much of a fantasy element.
Whisper of the Heart (movie) It's romance, but also Miyazaki.
Welcome to the NHK (TV) Sounds too comedic.
(The) Vision of Escaflowne (TV) As above.
Utawarerumono (TV) As above.
(The) Twelve Kingdoms (TV) Too much of a fantasy element.
Trigun (TV) Sounds too action-oriented.
Tokyo Godfathers (movie) Strange concept.
(The) Third: The Girl with the Blue Eye (TV) Sounds too action-oriented.
Texhnolyze (TV) Sounds too scary.
Tenchi Muyo! (OAV 1/1992) Sounds too comedic.
Sword of the Stranger (movie) Samurai.
Slayers (TV) Sounds too comedic.
Simoun (TV) Yuri. Gender switching. Religious theme.
Shakugan no Shana (TV) Too much of a fantasy element.
Serial Experiments Lain (TV) Sounds too scary.
Sakura Wars (OAV) Sounds uninspired.
Rurouni Kenshin: Trust & Betrayal (OAV) Samurai.
Revolutionary Girl Utena (TV) Shoujo.
Popotan (TV) Harem.
Perfect Blue (movie) Sounds too scary.
Patlabor The Mobile Police (OAV 1/1988) Sounds too comedic.
Paradise Kiss (TV) Fashion theme.
Only Yesterday (movie) It's romance, but also Miyazaki.
Noir (TV) Girls with guns.
Nodame Cantabile (TV) Musical theme.
NANA (TV) Shoujo.
My-HiME (TV) As above.
Mushi-Shi (TV) Too much of a fantasy element.
Madlax (TV) Girls with guns.
Love Hina (TV) Harem.
Kino's Journey (TV) The motorcycle can talk.
Kiddy Grade (TV) Sounds uninspired.
Karas (OAV) Too much of a fantasy element.
Kaleido Star (TV) Gymnastics theme.
Honey and Clover II (TV) As above.
Honey and Clover (TV) Sounds too uneventful.
Gunslinger Girl (TV) Girls with guns.
Gungrave (TV) Sounds too action-oriented.
Grave of the Fireflies (movie) Made by the same person who made Pom Poko.
Ghost in the Shell: Stand Alone Complex (TV) I don't like multiple canons.
Genshiken (TV) Sounds too uneventful.
Gantz (TV) Sounds too scary.
Gakuen Alice (TV) Magical Girls.
Fullmetal Alchemist (TV) Too much of a fantasy element.
Full Moon o Sagashite (TV) Shoujo.
Fantastic Children (TV) Too much of a fantasy element.
Ergo Proxy (TV) Sounds too scary.
El Hazard - The Magnificent World (OAV) Sounds too comedic.
Eat-Man (TV) Strange concept
Divergence Eve (TV) Sounds too comedic.
Cowboy Bebop (TV) Bang.
Code Geass: Lelouch of the Rebellion (TV) Mecha without any romance.
Claymore (TV) As above.
Ceres, Celestial Legend (TV) Too much of a fantasy element.
Burst Angel (TV) Sounds too comedic.
Black Lagoon (TV) Sounds too action-oriented.
Ai Yori Aoshi (TV) Too much fanservice.