Beta channel for Adobe Flash Player was updated today September 13 to 31.0.0.113, and is confirmed working on Windows XP.
https://labs.adobe.com/downloads/flashplayer.html
Chrome 45 and newer PPAPI: https://fpdownload.macromedia.com/pub/labs/flashruntimes/flashplayer/install_flash_player_ppapi.exe
Chrome 44 and older, and Mozilla Firefox (NPAPI): https://fpdownload.macromedia.com/pub/labs/flashruntimes/flashplayer/install_flash_player.exe
Internet Explorer: https://fpdownload.macromedia.com/pub/labs/flashruntimes/flashplayer/install_flash_player_ax.exe
Uninstaller: https://fpdownload.macromedia.com/pub/labs/flashruntimes/flashplayer/uninstall_flash_player.exe