This. The
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provides players for Mac and Linux too (download the Flash Player Projector). Linux users with a 32-bit OS can use the Windows player + Wine.
Note: If you want to make the "Flash Player projector" (a.k.a. "Flash Player standalone") the default player for your .SWF files, then you'll need to hack the executable a little bit.
Get a hex editor which can edit Unicode text (I used the
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), do a search for the Unicode string "-relaunched" (or just go to offset 9AAF2C), replace that whole string with Unicode spaces (hex: 20 00), and then save it. Now you can right-click on a .SWF file, choose "Open with" -> "Choose default program...", click "Browse...", select your edited version of flashplayer_32_sa.exe, click "OK", make sure that "Always use the selected program to open this kind of file" is checked, then click "OK" again. Now you should be able to double-click any .SWF files and it will open them for you.
Apparently this has been broken since v24. They're currently up to v32 and still haven't fixed it.