Any recommendations for romance mangas (no action/fantasy/historical/mecha, and preferrably not shoujo) where the main girl charac is really pretty, but is also slightly distant from others/doesn't fit in entirely(at least at the start)?

Some great examples of this would be 3D Kanojo and Oboreru Knife.

Cna yuo raed tihs? Aoccdrnig to a rscheearch at Cmabrigde Uinervtisy, it dseno't mtaetr in waht oerdr the ltteres in a wrod are, the olny iproamtnt tihng is taht the frsit and lsat ltteer be in the rghit pclae. The rset can be a taotl mses and you can sitll raed it whotuit a pboerlm. Tihs is bcuseae the huamn mnid deos not raed ervey lteter by istlef, but the wrod as a wlohe. I awlyas tghuhot slpeling was ipmorantt!

Six Half is a pretty good one!

Tonari no Kashiwagi-san somewhat describes both the male lead and female lead, but mc is male so I don't know if it fits

and not preferrably not shoujo)

WHAT DOES THAT MEAN? you don't want shoujo? but both of the manga's you are using as recommendation are "shoujos"
Natsu no Zenjitsu

Quote from VOoDOoCold

WHAT DOES THAT MEAN? you don't want shoujo? but both of the manga's you are using as recommendation are "shoujos"
Natsu no Zenjitsu

HAHAHA. Typo - its been edited. Preferably not shoujo.

Cna yuo raed tihs? Aoccdrnig to a rscheearch at Cmabrigde Uinervtisy, it dseno't mtaetr in waht oerdr the ltteres in a wrod are, the olny iproamtnt tihng is taht the frsit and lsat ltteer be in the rghit pclae. The rset can be a taotl mses and you can sitll raed it whotuit a pboerlm. Tihs is bcuseae the huamn mnid deos not raed ervey lteter by istlef, but the wrod as a wlohe. I awlyas tghuhot slpeling was ipmorantt!

Yamada-kun to 7-nin no Majo