The Economist has an interesting chart out on the world's most popular amusement parks. American brands still dominate, and eight of the top parks are owned by Disney (drawing 100 million visitors a year).
But Asian brands are catching up. According to the article:
Like many markets the attraction industry is shifting to the East. Asia’s biggest 20 theme parks pulled in 105m visitors last year, 9% more than in 2010, quickly catching up with North America’s 127m.
See the full chart here.