I really, really hate "Can't Always Get." A lot of it is because I dislike Mick Jagger's voice, the weird way he modulates his sounds and sort of chews his mouth and then spits out words. Those annoying effects are minimized on Rainbow and Paint It Black. But they are maximized on songs like Can't Always Get, and Just Waiting on a Friend.
I seriously can't stand listening to him sing those songs, and most others. I change the radio station every single time.
Edit: As for the music itself, it tends toward really generic blues and rock progressions, nothing special at all IMO. Paint It Black is an exception because it's a really haunting melody.