My 2 yo loves Dinosaur Train, Word World, and Curious George. They are all on PBS and Netflix, and we have some on DVD. I got Curious George and Word World DVDs at Wal-Mart with the $5 movies.
He also loves the Toy Story movies and Finding Nemo
I was going to suggest Blue's Clues and Yo Gabba Gabba, but your little one isn't a fan; I kind of like them though! I like the Yo Gabba Gabba because she stands up and dances to it, not just sitting mesmerized in her chair.
My little one also likes to watch the Dog Whisperer, or any show with dogs barking, cats meowing, etc.
We have the Dish (we love it, no more evil Comcast), just the basic cheapo package, and you can watch the Nick Jr. shows if you go to the main menu, select 'TV Shows', then 'Browse by Network', 'Nick Jr'., or something to that effect. We also watch them with the Netflix streaming which is pretty cool too. I believe Little Bear is on the Dish on Demand as well, my older SD always liked that one.
Will be looking for the Mr. Rogers now, that was my favorite as a kid. Not that I want her watching more tv than she does now.Oh well, so much for my no tv plan.....
My son watches Netflix streaming and likes several of the same shows as your child: Backyardigans, Kipper, Dinosaur Train, Caillou. He just this week started watching the Dora and Diego shows and they were better than I was expecting. I saw someone else post about Charlie & Lola; we don't usually watch YouTube with DS, but while we were traveling one of his grandparents showed him that and he really liked it.
We all really liked Shaun the Sheep on Netflix (claymation comedy with no dialogue- it's fantastic!) and highly recommend it to anyone!
My daughter is a huge fan of both "Kipper" and "Miffy and Friends." Both are nice, gentle, quiet shows for younger kids that don't generally contain some kind of antagonist character. They are slow-paced and easy to understand, so DD liked them from a young age. Little Bear is also okay sometimes, but I also sometimes don't like the choice of subjects. That's just me, maybe. There's also a very old show called "Old Bear Stories" which are super cute, gentle and quiet.