Will Real Player help? - NO, simply put.
This sounds like some of your codecs may have become corrupted or deleted. It is also possible that QTPlayer itself is damaged. Try removing QT prefs from sys-folder and rebuilding the desktop (Command-Option(ALT)) at start-up/reboot. ie: the usual first line of defence with a buggy mac.
If none of the shareware players are working, I'd think that QT is damaged. Have you got an installer handy, or would you have to download it?
If you want to redownload it, you MUST remove all Quicktime stuff from system folder or it won't be replaced(even if it's damaged). There is a Apple MPEG extension included in QT anyway:
You can also go to:
http://www.terran.com/CodecCentral/Codecs/index.html
It will point you in the direction for all sorts of stuff. Or better still:
http://www.mpeg.org/MPEG/
Finally, some of the files may be MPEG files that originated on other platforms/applications and your browser is not recognising them correctly so once downloaded, your mac doesn't think they're mpeg's at all!!! It can think they're text files, binaries or god knows what!!!