Like others said, in this world, there are very mean people. Just look at all the violence in the Middle East, even here at home. How many murders were there in your city? Unfortunately, you can shelter a your daughter for only so long. At 3, she doesn't need to know all that stuff. This is where being a parent is hard. You have to take all the messages kids are exposed to and turn that into a life's lesson. It's not as easy as it sounds. What you need to do is think of the values you want her to have and turn that into a lesson from the movies.
For instance, with Bambi, mom got shot, dad had to raise Bambi. That show's that a child can be raised by not only a mother, but a dad as well.
Another item that Disney brings with it is the fact that in most of the movies one parent is already either dead or dies. (I think there are only 2 Disney movies that didn't have 2 dead parents but I can't remember which ones. I think Peter Pan was one of them because Wendy's parents are both in the movie and don't die.) The problem with this message is that mommy/daddy don't live to see you grow up. This can cause many a nightmare in a child.
As for your daycare, sounds like the director needs to be spoken to. My experience with daycare is that they only showed videos around 4:00 to end of day when they started combining all the kids into one room.
Good luck!