My cat loves belly rubs but also takes it as a want to play so they latch on kick you with their back paws while biting. Then licks you because they don't actually mean it.
Hentai version:
Girl: Touch me, right there... d-down here.
Protagonist w/ bangs covering his eyes: Where? I don't know unless you tell me exactly where.
Girl: H-here... my p-p-p-p... my naughty pussy!!
@Reikou Agreed. Some will, but even there it's usually a progression; you get in a bit of ear scratching action, some side frottage as they walk back and forth, and then if they're that kind of cat they might roll over to let you go for the belly rub.
My family's cat has this thing where she hates being patted when there's someone else in the room. She'll be all affectionate and then when someone comes in she'll jump up and be all "It's not what you think!"