I can't speak to other religions, but Christ mentions homosexuality exactly 0 times.
It's my understanding the bible doesn't mention homosexuality (as in same-sex attraction) anywhere. The admonishments in the Old Testament/Leviticus have only to do with actions.
People often confuse what people do with what people are, and this seems especially true with sexuality. A common bias (perhaps less now, but certainly decades ago) is that if you "lie down" with the opposite sex thousands of times but with the same sex only once, you're seen as homosexual.
He speaks against divorce 3 or 4 times, though, so I'm left wondering if all these good Christian florists and bakers who refuse to serve homosexuals are also refusing service to folks who are remarrying after divorce. If not, Christ has a number of things to say about hypocrites--none of them flattering.
Well, most modern Christians haven't been reminded throughout their lives how sinful divorce is (well, maybe some Catholics), nor how objectionable it is (if not actually sinful as well) to associate with divorced people. There's surely lots of things we would be surprised to learn were considered sinful just a few generations ago.
It clearly has a lot more to do with modern sermons and what parts of the Bible modern preachers emphasize than a fully encompassing list of things the Bible dictates.
There was a serious religious argument about what the Wright Brothers were doing:
Critics warned the Wrights’ that “if God wanted man to fly he would have given them wings.”
http://wrightstories.com/articles/famous-aviators/
The quote was apparently a common argument against developing and building airplanes at the time. The actual source (both biblical and the original person who made the claim) appears to have been lost to obscurity, but it's clear that at the time people believed it as much as they believed any Bible verse. It had the "ring of truth" at the time, just as it being sinful to service gay weddings currently has the "ring of truth" to modern Christians.