Not Disney, but netflix has a new years eve count down that you can watch with your kids at whatever point you want their evening to end. Simply set the clock (if you have one in the room) ahead a few hours and celebrate early. Another fun thing to do is to watch any videos you made though out the year and look at all the pictures your have made and pull out anything you have collected from trips, shows, school etc and talk about all the cool things you all have done. Another idea we have done is to get each child a new calendar in a current favorite theme and look though the new year. Write or use stickers to mark things like birthdays and trips etc that will happen in 2016. Pull out all the family board games and plan really good snacks. A hot chocolate bar can be fun if its cold where you live. Buy a few noise makers or make some. Buy a bottle of sparkling juice for the kids toast and simply enjoy each other.