I would say it's a toss up between Harry Potter and Star Wars. James Bond lacks any clear message throughout the films. Harry Potter has rather obvious messages about loyalty and intolerance, which can be found elsewhere. Bigger than that I think was the envelope pushing of children's media, and the idea of the maturity of content aging with its audience/characters. It's yet to be seen if that will be picked up in other franchises, but it could start a huge shift. Star Wars brings Eastern philosophical points about fate, and balance/ying-yang to children. It was probably many peoples' (including my own) first exposure to these concepts. Lord of the Rings (Peter Jackson's I assume) is a classic underdog tale of perseverance, and good vs. evil which I think lessens its impact. There are too many other films that fill that niche that people might be exposed to.
So for now I would probably say Star Wars, but Harry Potter is in a prime position to be more influential.