Do you need the standalone player (Projector), to play local swf files?
The archived versions do contain some standalone (sa) players, but the ones I've just opened only contain the debug players.
The best is if you download the latest sa player from http://www.adobe.com/support/flashplayer/downloads.html - it should be fully compatible with older swf files.
Note that the download is the projector, not an installer, so you will have to make the file association manually.
[topic moved to Flash Player forum]