Google Docs now allows you to upload any kind of file into their online storage. I guess they noticed that people were emailing themselves lots of files to keep them stored online.
The GDocs file upload process has the same multi-select and progress bar capability as in Gmail. And similar to Gmail, it will not work properly if Flash is being blocked by the Flashblock addon. So, the fix for this problem is the same as for Gmail: Add
docs.google.com to the Flashblock whitelist.