I don't think such questions are appropriate for Gaming. You can easily take the game completely out of the equation and reduce it to
How do I stream what I am doing on my computer to The Internets?. A question such as that has no place on Gaming.
I hear you thinking,
it's not that simple. Games typically require special graphics libraries that often complicates this beyond what you would need to do to stream a spreadsheet tutorial.
Sure, I see where you're going with this, but that doesn't really prove your point.
Firstly, there are games that don't require such fancy libraries, correct?
Okay. Now, what if I wanted to write a program called
Spreadsheet 3000 using OpenGL because I want to incorporate all manner of awesome effects into the mundane experience of working with spreadsheets?
You'd be a fool!
Maybe, but I'd also be in a situation where I needed a solution that could stream
Spreadsheet 3000 on The Internet using the same tools I'd need to use for
Yeah, well, it's still not likely.
I'll give you that. My point remains, though, you can remove the game from the question and the question is completely valid. Furthermore, it's not valid on Gaming. The same applies for the question on recording gameplay demos.
In addition, the question skirts the bounds of product recommendations. We're in the habit of doing that if the product is something that directly resolves a question about a game (like the SC2 Ranks example), but not if it's a question about something that doesn't result in furthering knowledge about a game (such as
If I like Spreadsheet 3000, what other games should I try?).
With these two points in mind, let's look at the question that was asked:
I want to live-stream some games while I play them. How do I this? What applications/websites can I use?
The first question was
How do I [stream what I am doing on my computer to users on the Internet]?. SuperUser would be a pretty good place to get an answer about that.
The second question was
What applications/websites can I use [to stream what I am doing on my computer to users on the Internet]?. That sounds very much like a shopping recommendation to me. We've established that neither Gaming nor SuperUser wants shopping recommendations, and it would seem as if its off-topic at WebApps as well.
That being said, I'm not so far gone that I don't acknowledge that the gaming community has a growing number of people interested in this information. I think a CW post about it wouldn't be a bad idea, but I think that's as far as we should take it.