> Cute idea, except of course, that a father would not call his daughter
"hime" in any form even if she is a princess.  He would either use her
name or just call her "daughter".

I have to disagree with this; I've seen many fathers call their daughters
various cute nicknames, from "princess" to "pumpkin" to
"frogface".  I think it's a great idea to have Ranma use that kind of a
knickname; it helps us understand how much his daughter means to him.
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Yeah, in America.  I've never heard of "hime" being used as a term of
endearment.  Now, something analagous to "pumpkin" may work (though
what it'd be, I don't know), though "frogface" seems doubtful too...