Doctor violates the Maxim of Relevance
Here is a very lengthy example of violating the maxim of relevance in a Family Guy episode. Peter goes in for a check up or something and while the doctor is telling Peter and Lois the results the doctor keeps bringing up irrelevant facts. Lois assumes he is telling them that Peter is ill. She is expecting the doctor to follow the rules of communication by staying on topic and not only that but by talking about what the listener (Lois and Peter) is interested in. Enjoy!
Doctor: My goodness, you'll be dead within a month.
Peter: What?
Doctor (revealing comic he was reading): Oh, Hagar the Horrible, if you keep up
that lifestyle of pillaging and eating giant turkey legs, you'll be dead within
a month. Now, onto you.
Peter: So, what do you think? Pretty healthy, eh?
Doctor: Well, Mr. Griffin, let's take a look at your physical results. Argh!
There's a spider in here. Now, here we go. Mr Griffin, you're going to expire
in a month.
Peter/Lois: Argh!
Doctor: This is your driver's licence, isn't it? Now, unfortunately, I'm afraid
you're going to die...
Peter: Argh!
Doctor: ...when you watch these Dean Martin Celebrity Roasts.
Lois: Will you just tell us how Peter's health is?!
Doctor: Ah, Mr. Griffin, I'm not quite sure how to say this. Kim Bassinger?
Bass singer? Bassinger? But now, onto the cancer.
Lois: Oh my goodness!
Doctor: You are a Cancer, right? You were born in July? Now onto these test
results. My, they're much worse than I thought.
Peter/Lois: Oh!
Doctor: My son got a D minus on his history test. Now Mr Griffin, that liver's
got to come out.
Lois: What?!
Doctor: It's been in the microwave for three minutes, it'll get dry. Now-
Lois: Please, please, we can't take any more schtick.. Please just tell us, is
Peter healthy?
Doctor: Oh, yeah, he's fine, he's just really fat.