たい is used for something you want to do. くれる is someone else doing something to/doing something for you... As you can not be the one wanting to do what another person could do, it`s impossible. It is something outside of your control - たい is something within it.

Along the same lines comes weather. You can say 雨降ってほしい - but not ふりたい as you are not the one who would be falling.

Makes sense. Thanks Nyororin.

You can, but it's not the "default correct form." You should use が. If you use を, it places emphasis on the preceding thing. I've spoken with professional linguists, both non-Japanese and Japanese, about this. It's not really a "rule" so much as something that just happens to be true. (I said so inelegantly.)

Sry to revive an old thread, but to be frank, what is wrong with 日本の料理がほしいです ?

Imagine this sentence in English;
I want Japanese cooking.

You can say it, but it is kind of weird. You would normally say you want to eat Japanese food, not that you want Japanese cooking.

In Japanese, it is the same. You would say you want to eat something, not that you just want it. Add to this that 欲しい is stronger possessive than want in English, so it would become something along the lines of "I want to own some Japanese cooking."

But doesn't 日本料理 mean "Japanese food" / "Japanese dishes" ?

Indeed it does. Are you trying to say you would like some Japanese food to keep and not eat?
Even with the proper meaning, saying you want to be the owner of some Japanese food sounds a bit odd.

Heys sry, I have a typo in the above.. I meant does 日本の料理 mean "Japanese food" / "Japanese dishes" ?

The の is optional in this case.

Hey thanks for the help :)