[Note: I will assume this to be the colloquial usage of “pet peeves” as I have no peeves about pets whatsoever (in fact, compared to most human children I see running around, I find pets to be positively civilized.)]
With that in mind:
1.) Forcing a “favor” on another person in expectation of some kind of reciprocation (usually outsized in scale to the fake favor.)
2.) Using the Q & A section of a program to make one’s own speech (the subtext being that one — rather than the lunkhead who just presented — should have been the one invited to speak in the first place.)
3.) Acting as though one particular set of cultural norms is the only moral / ethical way to live.
Bonus response: As we are presently on a blogging platform, I should mention a blogger’s peeve: Using another’s comment section as an advertisement for one’s own content — particularly with no actual comment about the post to which one’s “comment” is attached. I realize blogging is inherently a self-centered activity, but let’s not fall full-Narcissus into it.
Tiger Riding for Beginners 