We just watched "Whisper of the Heart" (from Studio Ghibli) and it seems very relevant to raising a gifted child. The two main characters are both gifted, although in different ways, and both have different approaches to their giftedness.

While I think my kids didn't see the movie as deeply as I did, they still enjoyed it.

And while I'm here, I also highly recommend "Kiki's Delivery Service" (another Studio Ghibli movie). The main character is a young witch who is trying to find her place in the world.