The amount of Mangas I've read are still very few and these ones aren't the best but hope you'll find something.
Fantasy
http://www.mangago.me/read-manga/annarasumanara/ (really recommend this one)
http://www.mangago.me/read-manga/kanata_kara/ (also romance/shoujo)
Drama
http://www.mangago.me/read-manga/koe_no_katachi/ nghh
http://www.mangago.me/read-manga/winter_woods/ (also romance and fantasy)
http://www.mangago.me/read-manga/oyasumi_punpun/ this one's tough.
Romance
http://www.mangago.me/read-manga/can_t_see_can_t_hear_but_love/
http://www.mangago.me/read-manga/papillon/
Comedy
http://www.mangago.me/read-manga/gekkan_shoujo_nozaki_kun/
http://www.mangago.me/read-manga/koi_suru_shirokuma/
http://www.mangago.me/read-manga/adventures_of_god/
http://www.mangago.me/read-manga/19_days/
Horror
http://www.mangago.me/read-manga/tales_of_the_unusual/
http://www.mangago.me/read-manga/parasite/ (this one is more of a shounen/seinen)
I enjoy most of Junji Itou's works too. If you haven't, go check him up sometime.(๑•ㅂ•)و✧
Yaoi
This genre is a bit difficult. Mine always changes shortly.
http://www.mangago.me/read-manga/owaranai_fukou_ni_tsuite_no_hanashi/
http://www.mangago.me/read-manga/mimitabu_no_riyuu/
http://www.mangago.me/read-manga/never_understand/ alright it's shonen ai but still
http://www.mangago.me/read-manga/akiyama_kun/
http://www.mangago.me/read-manga/kokoro_o_korosu_houhou/ the angst is killing me
http://www.mangago.me/read-manga/shiro_no_koro/
http://www.mangago.me/read-manga/yamada_to_shounen/
I feel like I've read so many yaoi but I can only remember those titles for now
Can anyone recommend me any of your favorite mangas?