Since none of you seem to get the issues here (Steve excluded)
Indian burn: self explanatory
Gypped: Assuming that someone who takes advantage is a gypsy
Jewed someone: fairly certain this comes from nazis, that a jew takes advantage of others money-wise
shortbus/tard: making fun of someone for having below average intelligence.
In my profession, I have seen people be upset by all 4/5 of those, and in some cases exacerbating the issues. It's the same as using the N-word or the C-word, but because they're not for 'minority' groups, it's considered okay.
The two big ones that people have directed towards me are 'fake paddy', and either 'spic' or 'spicorican'. Those offend me for different reasons (I am Irish/cuban), and as far as people are concerned I don't fit in with either group. There really is no reason to use a term that offends people, and the idea that it is the fault of the offended is ridiculous.
That would be like me saying someone being punched in the face being upset by that is being a baby. I'm okay with it, and most likely if I met one of you and you punched me in the face, I wouldn't care all that much (it happens often enough in sparring). But if you punched a random person in the face (In NY at least) you could get arrested for assault. Just because you're okay with something doesn't mean everyone else is, nor does it mean that they should be okay with it.