There is one thing I do take massive offence to. That's people who suckle from scientific discovery and innovation at a moments breath when it suits them, or when they desperately need it. But when it conflicts with their superstitious or conspiratorial beliefs/opinions, all of a sudden science knows jack shit and it's corrupt.
One example would be not long after my girlfriend having her appendix removed. This also happened with her dad and grandmother and they were talking about how a surgery that left you with a massive hole in your gut just a few years ago is now 3 simple key hole incisions and the usual discharge time is days instead of weeks/months. We even started talking about medical innovations in general because the surgery was done in a new section of the hospital and they had displays showing some older diagnostic and treatment equipment.
But just a few weeks thereafter my girlfriend and her 'beloved' nan were discussing religion, science and ghosts. It started with science being brilliant because it can conquer appendicitis and gives them technology, but it's pointless and mundane due to the fact that the big bang is evidently wrong because god dun it, ghosts exist because a man with a video camera recorded some specks of dust and science doesn't know everything so we should put any half-baked idea into the mix until science does come up with the answer so we can woefully dismiss it. If you don't like science, fuck off to the jungle and see how long you last.
I wouldn't say it offends me, but it certainly pisses me off royally. People who take unnecessary offence (irony alert!). if I crack a joke about Jesus supported gay adoption because he had two dad's I wouldn't particularly expect a 6 hour lecture explaining that I'm wrong because the preacher said so and they're horrifically offended by my remarks. Although for many things I don't mind if people take offence, but they're usually extreme examples. Like if I lose a family member from cancer I don't expect a wave of emails from friends saying "LOL CANCER!". There are of course plenty of people who (I subjectively reckon) would meet the extreme criteria but don't take offence. But it's usually best to test the waters beforehand and see how they feel about the subject first.