Is TOR entirely blacklisted?

When people look at anonymity services, they're always talking about services like Hide My Ass and other proxy services. I may be thinking old school, but the first thing that comes to mind when I think of online anonymity is TOR. While the speeds are relatively slow, they have become much faster in the recent years. The problem I'm facing however is that TOR seems to be blacklisted just about everywhere you go. Google always demands some sort of Captcha when using it, and certain websites are entirely blocked. In fact, I managed to get a Yahoo Mail account blocked just from using it.

Are all of the nodes on TOR blacklisted everywhere? Is there a way to determine when a new node has come online and if so, is it possible to select it specifically as your final node on the network?

Google know existing exit nodes but finding new ones would be black hat interesting for some clicks...

I've never had any troubles with TOR. Other than the speed of course, but that is expected.