I don't normally get offended easily, no. Ironically, though, I get offended by other people getting offended easily. Kinda stupid, I know, but to me it usually just feels like those people aren't interested in a discussion at all, so they just react with the first emotion that comes to their mind, which is anger. I don't think behavior like this accomplishes anything other than sowing hostility, ultimately making the problems even worse.
That aside, I am quite sensitive towards physical violence, especially when practiced against "weaker" people or when practiced out of "bad" motives (not that there are really many "good" motives for physical violence, but there are at least motives that make me think "well, okay, that person was kinda being an asshole and I can see why the other person snapped").
As far as speech is concerned, I'm not sensitive to many things, but I guess I'm not really too fond of sexism and other forms of discriminating talk, at least when I know that people are serious about them. Like, I really don't mind when people use speech like that in ways that is obviously humorous in nature and not meant to be serious or harmful (e.g. something dumb like "How many women do you need to change a light bulb? - None, it's men's work"). However, when I feel like people are actually serious and mean what they're saying, then yeah, I feel quite uneasy towards that.
Feel free to visit my website/blog - it's updated rarely, but it looks pretty cool!