Artists that stop playing their most familiar material

Was thinking about John Mellencamp with this one, primarily, but then remembered that Billy Joel has also gradually dropped more of his most well known work from concerts. I know it must be very hard for the artists to keep playing the same songs night after night after night (Pat Benatar has said many times that now she loathes "Hit Me With Your Best Shot", but knows she has to play it in concert), but reckon it's rather disappointing to go to a concert and not hear the favorite songs by an artist, because they are moving on to "new styles". Mellencamp, for example, refuses to play "Cherry Bomb" among a number of others in his wonderful catalogue (I'm a massive fan of his music), while Joel plays a lot more of his less "pop oriented material" now also.
Are there many other artists out there who simply don't play many of their big hits in concert?
Are there many other artists out there who simply don't play many of their big hits in concert?