tom cruise (weak minded, corrupt) steven seagal ( soooo fake) Jaden smith (piggyback) Jennifer aniston (tries to be funny.... fails) and schwarzenegger for not appearing in T4 (made that film too serious)
It's not so much a specific role they played as much as it is about the fact that they repeat said role a million billion times. Seeing an actor do the same thing over and over and over really irritates the hell out of me.
The best example I can think of is Michael Cera. Think about it: he got his big break playing a quirky, awkward, dorky teen with similar friends and a lack of any confidence or social skill. He then continued playing this part until "Scott Pilgrim," in which he played the exact same character with the exception of a main character title.
It's come to the point where I can write his character for his next movie without even knowing the title. In this movie he'll stammer quietly, make awkward small-talk, refuse to take control of any situation he's presented, and ultimately woo whatever romantic interest he's assigned despite his "personality."
It's not necessarily the character I find annoying, it's the fact that he keeps performing it over and over, and gets paid for it too.