Yeah, but random goals have to at least be programmed in.
Going through some more kitsune-related myths...
In one of the myths I've read before, a man comes across a beautiful woman searching in the woods. He is immediately smitten with her, and so he agrees to help her with what she was looking for. She gives him money, and asks him to go to the lord who is hunting in the forest, and bring back the body of the fox that the lord had just killed in the hunt.
Although both the man and the lord found it very strange, the man is capable of convincing the lord to take the money in exchange for the dead fox, and upon taking the body to the woman, she reveals herself as a kitsune, and tells the man that the dead fox was her father, and the rest of her kitsune family take the body away for a proper burial.
I unfortunately forget a large chunk of the story that comes after this, but at one point, the man falls severely ill, and the kitsune he had helped in the past comes back to give him medicine and save his life.
Kitsune are often involved in myths as "shapeshifter lovers", a fairly common type of myth around the world, where female creatures with shapeshifting powers marry (or just seduce) a man who doesn't realize what she is, and only after years of marriage and children (or just a one-night-stand) the husband somehow finds out what she really is (typically because he did something he was told never to do, like look at her when she is in the bath). What happens after that point depends on the general hostility of the creature and the myth, though. Kitsune are typically of the more benign variety.
In the Japanese Tales book, there is a story of a man who finds yet another supernaturally charming woman along the side of the road. He strikes up a conversation with her, and she is at first charmed, and happy for the company. However, as it becomes more and more clear that he isn't interested in just conversation, she becomes troubled.
"The woman tried to hold him off. "Now that you've gotten this far," she said, "I'd like very much to go all the way. But you see, if we do, you'll die!"
"Much too excited to listen, the man kept pressuring her until she gave in. "I really can't refuse you," she said, "since you insist so urgently. Very well then, I'll do whatever you wish and die in your place. If you want to show me gratitude, copy the Lotus Sutra and dedicate it for me."
"The man seemed not to take her seriously, and he finally consummated his desire. They lay in each other's arms all night long, chatting like old lovers. At dawn the woman got up and asked the man for his fan. "I mean what I said, you know," she told him, "I'm going to die instead of you. If you want proof go into the palace grounds and look around the Butoku Hall. You'll see." Then she left.
"At daylight the man went to the Butoku Hall and found there a fox lying dead with his fan over its face. He was very sorry. Every seven days after that he finished a copy of the Lotus Sutra and dedicated it for the fox's soul. On the night following the forty-ninth day he dreamed that she came to him, surrounded by angels, and told him that thanks to the power of the Teaching she was to be born into the Tori Heaven."
(Japanese Tales Royall Tyler, 115-116)
In another story, an old man who liked to philander when his wife was out of town did the usual routine of falling in love with a mysterious girl he just met, going to her magnificent house with servants, getting married, and having children with her. He completely forgot about his old family, he was so happy there.
The man's son (from his original family), believing his father had died, had a statue of a god carved to lead them to the body of his father so that a proper burial could take place.
At that time, the statue burst through the illusion of the kitsune, and the old man, nearly starved to death, crawled out from the crawlspace under the storage shed at his own house. He had been missing for thirteen days, although to him, it had seemed like thirteen years. He had been living under the crawlspace of the storage shed of his own house, although it seemed like a luxurious mansion filled with servants to him. He declared to his son as soon as he saw him that he had fathered a new heir to the household, and yet when he tried to show his (human) son the new heir, there was a litter of young foxes that quickly fled out into the woods.
As for weaknesses of a kitsune, dogs are their natural enemy (because dogs will hunt a fox). In one story, the way a kitsune wife (one who had been married for many years, and had children) was revealed was when hunting dogs caught her scent and started chasing her, causing her tail to appear in her panic to run away, (the tail or ears are the most common components of a glamour failure for kitsune) and revealing her identity. (In the end of that story, she couldn't remain in the village, but the husband still loved her, and there were also her children, so she lived outside the village, and the family snuck out in the middle of the night to go and see her.)