Thanks to this thread I was able to login without issue (having suffered the initial problem like everyone else above) by:
1. Visiting www.apple.com and setting the site preferences to allow acceptance of cookies and from sites outside the current one.
2. Going to me.com and deleting the following 4 cookies:
auth.apple.com (something like that)
The three cookies with me.com in their title (the only ones in my listing with a red cross by them).
I didn't need to delete any others.
3. Reloaded me.com and was able to log in without any issue.
Surprisingly, it is also now very fast to load (with the exception of Calendar... which is still faster than it was, but not fast), which is in stark contrast to the past day or so.
1. Visiting www.apple.com and setting the site preferences to allow acceptance of cookies and from sites outside the current one.
2. Going to me.com and deleting the following 4 cookies:
auth.apple.com (something like that)
The three cookies with me.com in their title (the only ones in my listing with a red cross by them).
I didn't need to delete any others.
3. Reloaded me.com and was able to log in without any issue.
Surprisingly, it is also now very fast to load (with the exception of Calendar... which is still faster than it was, but not fast), which is in stark contrast to the past day or so.