One of the villains of The Lives of Others, having just declared that "there are only seven types of subversive artists", declares one of the main characters to be one of these. To curb his subversiveness, it's recommended that the government's spies gather enough information to prove he's guilty, then give him a perfectly fair trial so he can't grandstand and make himself into a martyr. If he's convicted, he should be sentenced to solitary confinement for months on end, and when he gets out, he'll never write anything again. (There are hints he's underestimating the artist in question, but it's never made entirely clear.)
As mentioned in the comics section, The Joker. In Tim Burton's Batman, when Vicki Vale asks what The Joker wants, he replies "My face on the one dollar bill" — not to mention that he explicitly decries the fact Batman is getting his [Joker's] attention in the press. Batman Beyond: Return of the Joker has Terry mention in his Reason You Suck Speech that The Joker kept taunting Bruce because he (Joker) wanted to get "a laugh out of the old man.". Even the incarnation from The Dark Knight isn't totally immune; once he gets a feel of what kind of person Batman is, The Joker makes it his goal to break him and does everything he can to make Batman see Gotham crumble into chaos.
Tony Stark in The Avengers, good god. He's partly doing it to break the ice (and at one point, to implant a computer virus into SHIELD's network to find out what they're hiding from the Avengers), but he's also clearly reveling in his captive audience in order to show off and crack jokes nonstop.
Loki also seems to delight in doing this. Tony's not amused when he realises the similarities between them.