Is there a Standalone Flash Pepper version available out there? Or would it be possible to execute the chrome plugin without running chrome? Thanks :-)
As far as I could tell (and I scoured Google to try and find an answer for this, and didn't find one even 15 pages in), there is no standalone runtime / projector / player for Pepper Flash.
However, as an alternative, you could use the Flash 15 Standalone Player executable for Windows(AppDB Entry) (or even the Flash 16 beta Standalone Player executable for Windows(AppDB Entry)) within Wine. I have tested this (on both of them), and it seems to work smoothly and without issues. In fact, I've noticed it runs FAR smoother than Firefox or Chrome's flash plugins does. It is a usable alternative until there is a Pepper Flash standalone (if there ever is, as all I could find was Pepper Flash is provided by Adobe to Google under license.)
Adobe also made a Flash 11 standalone player for Linux, but it is still Flash 11, and it is really buggy and crashed for me every time I tried to use it in Ubuntu 14.04. That's why I went the "Windows Standalone Flash Inside of Wine" route, which seems to work.
NOTE: Yes, the links don't work - it's too hard to play catchup every time Flash updates. Use this link always to find the 'latest' versions that Adobe makes available.
You may want to try something like pipelight
sudo apt-get install pipelight
pipelight-plugin --enable flash
This has the advantage of also supporting unity3d and silverlight if you enable them, and should be up to date, as it runs flash through wine.