Netflix, Amazon Video and HBO GO all have a featured list for LBGT. Even I find it annoying. A good movie/TV show should not need that kind of promoting and if it's good, people will watch it regardless of politics.
As it is, I won't watch anything on those lists without recommendations from other sources, simply because I assume they will be a waste of my time.
I figure if I have some weird driving need to watch an "LBGT genre" movie, I'll just re watch But I Was A Cheerleader, although, truth be told, I'm more likely to watch it because it's funny.