The new TNT show "The last ship" has a lesbian character but its not central to the plot. She mentioned it and the show moved on. I'm fine with that. The Walking dead also has a lesbian character but its not central to the show. I think it's come up in passing on 1 episodes.
AMC's "Turn" has a gay character but its treated as it would be in 1776. (He was turned into a British spy to "hide his shame". Even in this case its forgettable that he's gay.
Talked About Scene: Episode 102: TURN: Who by Fire
One of the best shows on TV by the way. Very historically based and very pro American.