The new-agey crap that takes all arguments personally,
and sees disagreement as disrespect
rather than engagement with the subject.

hmmm. all of the above COULD upset me, but I am not used to face them in my everyday conversations.
I think that what I am most irritated about is when the other perosn's ego bock his\her view from acknowledging serious stuff.

fake apologies
Easy to spot, but the ones giving them think they are SO clever.
A type of fake apology is when someone is sorry for something YOU did
instead of something THEY did

ex: Im sorry you didnt understand where I was going with this.
Im sorry you didnt like what I did.

My responses range anywhere from
"I dont need or want you to be sorry for me"
"Go f**k yourself"

-when someone states something and thinks they know what they are talking about because they watched a movie on it and read a few books then start quoting things others said, only to find out the people who said it couldn't pass peer review, and the information was flat out wrong. Don't mention the people they quote don't work in the field. (THERE IS NOTHING MORE UPSETTING THAN A DUMB PERSON QUOTING ANOTHER DUMB PERSON)as bad as someone quoting what someone else wrote on the internet.

-someone who is doubleminded, DUMMY GET YOUR IDEAS TOGETHER. Stop flip-floping because you don't know what you think.
This is a straight conversation ender. Point blank to much inconsistency causes for me to just blank out and nothing you say will be taken serious.

-Arguing over things that can't be proven. I can understand saying I think this and this is why but having an long standing feud over things such as religious beliefs or lack thereof is ridiculous. If you believe in a god fine if you don't fine too move on to something else.But saying someone is illogical etc because they don't hold your beliefs are ridiculous.
(I couldn't personally care less what you believe.)

-Someone who constantly plays when you are trying to have a serious conversation. Say-singing in a funny voice when you are trying to tell them something.

-Someone who cannot argue rationally, step back from the situation and make your point. Don't start screaming and crying because you cannot get across what you want to say along with that is someone who throws fifty million questions at you at once, and when you can't answer fifty million questions at once think they won the debate. YES YOU WON A DUMMY AWARD. handed out every second.

-Trying to hold a conversation when its obvious to everyone but you I don't want to talk. Well that one is hard because sometimes its charming and sometimes it annoying.

-Trying to get me to express and emotional opinion (e.x Do you love me.) Someone once told me getting me to open up was like pulling teeth I told them no that involves pain I simply do not see the world in terms of emotion, more than not I see it as productive or not.

-constantly criticizing other people, if you are talking to me ,other people unless truly needed should not enter our conversation I don't care what who said or did or looks like.

-Conversation that are overly philosophical, and last for a long time. I can grasp what you are saying but in the end it gets us nowhere but talking about what you believe I am not about to spend four hours talking about socrates.I could simply read some books. if I were that interested.