I'm using Windows 7 (64 bit) and I'm running IE9 and Opera for my browser. I cannot use anything that requires flash player, as it says I need to update mine. When I go to download the new one, it simply refreshes my page with no further instructions, and does not start the download. Occassionally, I can get the download procedure to begin, but I can never get anything to happen after the "Run" step. It simply stops with no notice whatsoever, and no download ensues.
NOTE: I'm also having the exact same problem with Adoe Reader.
Try using the 64-bit installers from http://forums.adobe.com/thread/909550
Download the Adobe Reader installer from http://get.adobe.com/reader/direct/ (this link has been working in the past, but I am getting a "currently unavailable" message).
Alternate download for the full installer: ftp://ftp.adobe.com/pub/adobe/reader/win/ (navigate to the version you want to download).
Update: the Adobe Reader direct download link above is working now.