There's no ban in our house. Just common sense.
We have one family TV with a PVR. We all watch the same stuff. It's got to be quality.
* Mickey Mouse Clubhouse -- DD's favorite. Since we downsized our channel package, we don't get Playhouse Disney anymore - we just have a handful of saved episodes. However, we have a 'free trial' version of the French version of Playhouse Disney for a few weeks. "Maison de Mickey" is just as good in DD's mind. (I've also got a handful of episodes downloaded to my laptop -- very handy on road trips.)
* Dora the Explorer -- DD's second favorite. A great alternative if you're sick of Mickey's high-pitched voice. But Dora is much more repetitive.
* Toopy and Binoo -- a great new Canadian show. The episodes are very short (5 minutes?), often strung together into half-hour shows. They are all about playing and imagination. DD loves the characters, and I love to watch it too.
* Max and Ruby -- DD loves Max. I'm not sure she can relate to Ruby. I sleep through this super-sweet show.
* Thomas the Tank -- Harmless show - puts me to sleep. DD watches the first few minutes, then usually wanders away to do something else.
* Sesame Street -- I love it, but DD just tolerates it. Maybe it's too educational for her. Maybe the stories are just a bit too complex for a 2-year-old.
* Kid versus Kat -- another new Canadian cartoon. A girls cat that hates her brother. The brother almost always gets blamed for the cat's destructive habits. Did I mention that the cat is an alien super-spy? (The cat reminds me of Perry the Platypus, except he's evil.) DD doesn't appreciate the plot the way I do, but she loves the slapstick.
* Sponge Bob Square Pants -- a classic feel-good cartoon, staring "blissfully unaware" characters. He's a great role model: hard working, kind to others. Maybe he's just too happy for some viewers. DD is indifferent to this show, but I watch it for variety.
* We watch a lot of animated movies, together. I'm with her to talk her through more frightening scenes, like the beginning of Finding Nemo, or the battle scenes in The Incredibles or Up! Even Wall-E has some potentially disturbing scenes.
As you can probably guess, I am a big animation fan. But there are a number of shows that I don't watch with DD. And it's not just because of ratings.
* The Flintstones was one of my favorite shows growing up. Watching it now is more than just a bit disturbing. The show lacks what I would consider to be positive female role models.
* Rugrats. I loved the show. It was a show written for adults to watch with their children. But the cultural references are 10+ years old. Not as entertaining as it used to be. Boring to my DD.
* Bugs Bunny and Tweety Show. I love these old and violent classics. DD will watch these with me some day, but 2 is probably a bit too young.
* The Simpsons. I try to shelter her from these. But I love it. Great writing. I'll probably watch this with DD when she is older (6?). I'm not going to be like some of my relatives and ban it from the house -- their kids just go to a friends house and watch it there.
There's a lot worse stuff on television than cartoons. Watch the news from a child's perspective -- it's awful. Documentaries can be challenging too. Our family was watching a beautiful documentary on the South Pacific, which suddenly zoomed in on the French Frigate Shoals and the annual departure of Albatross chicks. (Sounds innocent, right?) First, the chicks are abandoned by their parents. If the chicks don't teach themselves to fly right away, they either starve on land, or are eaten by packs of Tiger sharks just offshore. There was some lovely footage, especially of the sharks gobbling up chicks. DD was mesmerized. I didn't want her to have nightmares, so I told her that they must taste like duck or chicken. "Yummy chicken!" was her response to each subsequent shark attack. (No nightmares yet...)
IMO, there's not much to be gained by sheltering children from a variety of outside influences. The best thing you can do is be there with them and help them filter information from TV, computers, or other media. I'd rather be there with my children when they see something new (and potentially disturbing) than for them to experience it unsupervised in someone else's house.