I find that it's always interesting to THEN consider, okay -- while there's no centralized board or anything -- what does e.g. American censorship go after?
Gay characters in cartoons is the first thing that comes to my mind. Such as censorship of gay couples in Sailor Moon in the 90s (including altering one to be a pair of cousins). More recently, the creator of the disney cartoon Gravity Falls had resistance from executives over their inclusion when making the show.
Another is censorship of LGBT books in certain states.