It doesn't look like there's any current and consistent problem right now though, at least one that's totally up to Blogger to resolve.
But this blog isn't going to go away. Even with no active problem, the material here is still relevant to Bloggers. And I sure as heck won't delete this.
EDIT: I wrote the above when I was suffering from an attack of optimism. See Open Blogger Issues, for new problems popping up.
Does anybody speak for Blogger?
NOTE: If your blog has been falsely flagged, and you are suffering the pain of the word verification puzzle (aka the Captcha), you can get this resolved. Just do NOT waste time with the Blogger Help Form.
There is a special link right next to the Captcha.
My blog is not spam
Click on the link. THIS procedure is quite painless, and much faster than waiting for general assistance. I cannot describe the form, or the procedure, in any detail, as I cannot reproduce the problem. My blog was falsely flagged, it was resolved, and hopefully will never be flagged again.
NOTE 2: If your blog was completely deleted by a Blogger anti-splog bot, you won't be getting the captcha to solve when publishing. You won't be getting anything at all, even.
If your blog just disappeared, and doesn't exist at all, setup a stub. Immediately.
Then, notify Blogger Support. And be sure to reply to the botmail!
Possible Blogger Anti-Splog Bot Victims:
See Spam Blogs #2 for a discussion about the many effects of the problem.