Taiyou no Uta (only seen the movie though, but there's a drama version too. She can't be exposed to sunlight. (she aint a vampire lol))
Starlit (only seen 4 episodes tho, similar disease as the girl in 1 litre of tears)
Daisy (movie, she can't speak)
this are ones I haven't seen at all yet so im not 100% sure;
Crying out Love, in the Center of the World (movie & drama. I think she had cancer or also something with muscles?)
always (movie, girl is blind)
Can you hear my heart ( I think the girl is deaf?)
Mioka (brain disease, loss of control of the body)