Ok, here's my slightly more expanded list:
Blue Clues (I prefer the Steve era as Quinalt mentioned, but Joe is ok too... just dorkier)
Zaboomafoo (a wildlife show with two brothers hosting and a lemur puppet)
The Mr. Men Show (probably better for older kids; it kind of reminds me of Looney Tunes)
Ni Hao, Kai Lan (nice to see Mandarin Chinese as a second language because children's programming usually only features Spanish)
The Wiggles (if you can stand to hear to infinity a handful of corny songs)
Word World (a phonics show with animals and objects made out of words; pretty cute)
Between the Lions (a beginner reading and phonics show which I hear is frequently used in kindergarten classrooms)
Reading Rainbow (one I grew up with and one of my favorites)
Sesame Street (I've always loved the variety of things they do on SS, but I can't stand Elmo)
Most of those are on PBS, but
Blues Clues and
Ni Hao, Kai Lan are on Nick Jr. while
Mr. Men is Cartoon Network and
The Wiggles are Disney, I believe. As far as I know those shows are fairly tame. I do agree with Orthodoxlurker and Heorhij that it may be in your best interest to read and discuss with your daughter. The current round of experts out there suggest no TV for kids under 2-3 anyway, but I tend to take the latest "expert" advice with a grain of salt. In any case, reading to her is a good thing anyway.

Hope this helps!