Pet peeve: audio menu trees that are designed to steer you towards automated solutions, or it keeps reminding you to go to their website. I hate phones with passion, by the time I resign myself to call tech support is because I ran out of things I can check for on my own, and that of course includes going to the goddamn website!
Another thing I hate is when the audio menu only allows for voice prompts. Those of us with thick accents and loud children really don't do very well with these. What I do now is spew some nonsense (or yell ELEVEN), force the menu to fail and send me to a live person.