We're not big on tv for our 2-year old. She's watched maybe five hours in her lifetime, with a couple of that being on flights and another hour when I had therapy and forgot to tell my husband so he couldn't watch her. That being said, we have sat down a few times this month to watch twenty minutes or so of Christmas programming with her. There's something special about all the Christmas movies that makes it fun to watch with her. We tried the old Rudolph the Red Nosed Reindeer movie, and she loved pointing at his nose and seeing the reindeer. But that abominable snowman is kind of terrifying, and I ended up feeling she wasn't quite ready for that. Lol! Frosty the Snowman was cute. And the Snowman movie, which is a silent film, captivated her attention.
I have a few mom friends who let their kids watch a ton of TV. One recommended the Netflix elf on a shelf show. I don't think we'll get to it, as we haven't got time for the classics and that's the priority if we are going to sit with her. But that might be fun.
As far as the research goes, American Academy of Pediatrics says 1 hour a day of high quality screen time for two year olds is ok. It's best if you're there with them, interacting with them and not using it as a babysitter of course.