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