It may seem that their ideas were initially as innocuous as they come, but that's probably not the whole of it.
YouTube's Chad and Steve say that they just wanted to create a cool site where you can share videos like Flickr users share their photos. I think it was in the Time article that the low-key third founder noted that it was pretty much in the plans all along to come up with a startup venture for mass proliferation. They achieved just that!
A great idea may bring light to a good business plan, but we shouldn't forget that there are cases where a good idea is born out of a great, focused business goal.