room of swords on webtoon, there are lgbt characters, the focus is on the plot and not on their sexuality. Their sexuality is a part of the story but they story doesn't revolve around their sexuality is what I'm trying to say. (it also has great music and graphics)
Technically, Sasaki to Miyano is a shoujo (it’s labelled as shounen-ai on mangago, but it’s in the shoujo section of Japanese bookstores and isn’t published in a bl magazine), and it’s really good at portraying the changing feelings of it’s titular characters. Also, Ao no Flag is a shounen series that deals with sexuality and although it has some bumps in its portrayal of sexuality, it treats its gay characters relatively well. Another manga I can think of is Shimanami Tasogare has a lot of LGBT characters and themes and it’s a seinen. There are some others I can think of but I don’t think the portrayals are particularly respectful (although that should be taken with a grain of salt because Japanese/eastern concepts of sexuality are different from western ones so things we may not think are respectful, probably are more respectful than we think) nor are they particularly relevant to the overall plot of the manga. Hope these few suggestions are of some interest to you!
Does anyone have recommendations that include a gay character (portrayed respectfully) but isn't yaoi/shounen ai?