"Two sad and upset girls here, and two pissed off parents," wrote one viewer on Facebook. "Whilst we can't see Sesame Street anymore, [we] certainly know that MediaWorks and TV3 are Muppets."
Another wrote: "Bravo will never play in this house! So upset for my little ones who only get TV in the morning while we all get ready for the day. Not everyone has the data to watch On Demand. Looks like it's back to DVDs for us."
"[We are] angry with this change," said a third. "All my daughter's favourite shows are cancelled and there's pretty much no kids' shows for toddlers anymore, so disappointing," said a third.
A fourth wrote: "Absolutely unbelievable!!! What are the kids going to watch now? Shouldn't have to use On Demand for our kids to watch a wee bit of telly in the morning while having breakfast!"
In a follow-up Facebook post, Bravo said some of Four's children's shows were being replayed - but in different time slots.
"Teddy (Sticky TV) and Teenage Mutant Ninja Turtles will be coming to TV3 weekday afternoons at 3.20pm in a new one-hour line-up. Throughout the year, we'll be rotating other kids' shows in place of Teenage Mutant Ninja Turtles," the network said.
"We'll also be playing Pukana at 6.30am on Saturdays on TV3, and will have Pukana, Sticky TV, and a number of other shows on 3Now - like The Wiggles, The Moe Show and Emma."
And in replies to several commentators, the network said it was "looking to move the children's programming over to TV3".