It's a Small World... for Groping: Disneyland might be the happiest place on earth, but that doesn’t mean some employees don’t spread their happiness a little too far. In 1976, a woman sued Disney for $150,000, claiming that one of the Three Little Pigs at It's a Small World had grabbed and fondled her. But the Mouse House has some shrewd lawyers, who presented her with a photo of the costume the supposed groper had worn--and which had only inoperable stub arms. The suit was dropped.
Seriously though I am surprised deaths don't happen more often. The Walt Disney parks had 132,549,000 visitors just in 2013. So just in that year alone the average was more than 37 thousand people per day.
I'll bet you it is statistically safer to play and have fun inside their parks than the trip flying or driving there.