Gnash, the GNU SWF player is a free software alternative to Adobe's Flash player. Gnash can play most Flash movies up to SWF version 7 and a large proportion of SWF versions 8 and 9. Gnash is extensible, flexible and - unlike the proprietary version - grants users full control.
Gnash allows you to save videos and other media files, can render a SWF to video, and produce screenshots. You can use Gnash to do what you want, not just what the content provider wants.