There's plenty like this in the vast sea of manga - an ostracized/outcast female lead.

Examples:

The Pale Horse
Kurokami no Helga

Ostracized heroine, outcast, or the odd one out.

If the manga/manhua/manhwa is in a school life setting I don't want random hateful evil crowds of high school girls. Their prime reason for hating being "Because Rei-sama touched your hand and we all share Rei-sama." or some shit like that.

Definitely not wanting a cold/distant heroine.

I've read Koko ni Iru yo! and Life. These ones I did not like as much.

Favorite Art:
Oboreru Knife
19 Days
Gangsta

I haven're really read it, but I think that Kainushi wa Akuma may fit.

Edit: Ohh, I think that 3D Kanojo would fit too, but it's not a hardcore-bullying type outcast. Interesting enough, both the female and male lead are outcast.

I'm in idol hell T.T

Doll Star - Kotodama Tsukai Ihon

There are also oneshots in Gekkou Chou, Hal (Makino Aoi), and Zekkyou Gakkyuu that deal with this too, but your mileage may vary with those since they're very simplistic, shoujo, school life situations.

Arachnid also has a protagonist like that, but I have mixed feelings about the series as a whole, and it really isn't anything like the examples you have listed.

Watamote lol
Kimi ni Shika Kikoenai
Mozuya-san Gyakujousuru gets translated soon

Can't think of anything else right now, but there are definitely more of this.

[img]http://www.mediafire.com/convkey/a8ee/v1c0uzwpt6cdtcbfg.jpg[/img]

Mairunovich

He's Dedicated To Roses

Other things by Hwang Mi-Ri that contain elements of this Hot Blooded Woman and Miunohri to Swan

Vitamin (SUENOBU Keiko) By the same author as Life. I don't know what you didn't like about it, but you might find this as a suitable alternative. Also Happy Tomorrow

Tomodachi Gokko and by the same author, Confidential Confessions (1st volume, I believe)

Aishiteruze Baby If I remember correctly. Seems cold and distant, but...

Seconding Hal. As for Arachnid it fits in the beginning, but beyond that...I think the OP wants something more Shoujo-like. Also, I second Mairunovich

I like my men androgynous.
I like my women androgynous.

I'd say Six Half - before she was ostracized by her own family members, and then she deals with unstoppable feeling of not belonging to any place, then in a school her friends turn their back on a heroine, which is kinda much more cliché than conflicts with her family, but still isn't boring; it's a very interesting read, quite different than regular shoujo, so it's really worth of checking out 😉

Kuragehime - otakus girls being despised by normal folks (though it may vary from your description, since they are actually fine with being creeps)

koe no katachi though is a oneshot, but is an amazing oneshot.

[img]http://i1314.photobucket.com/albums/t569/sarabip/kawaii-x_zpsdbd0ffd5.jpg[/img]

So I just read:
Kainushi wa Akuma
3D Kanojo
Doll Star
Hal (Makino Aoi)
Kimi ni Shika kikoenai
Koe no Katachi

Pleasant reading from all of them. But a lot of them are ongoing so I'm going to have to start monitoring updates lol.

All suggested HMR works, Kuragehime, Vitamin (SUENOBU Keiko) (Don't like it anymore than I liked Life 🙁 ) and Watamote are already on my completed/reading lists.

Thank you millionz. Will read whatever I haven't touched yet soon.

Favorite Art:
Oboreru Knife
19 Days
Gangsta