Flash player saves swf files and run them later in fullscreen flash player.
Flash player (Playlist)
For add new flash go to webpage with any flash and click to main icon of Flash player +. In popup of Flash Player + click to "Flashes on actual page" and click to icon "plus" (you can change flash name too).
If you not see any flash in menu "Flashes on actual page" you must wait to completely load the webpage with flash and then try add again.
Your saved flashes can be run in "PLAYLIST" in popup. Click to name of flash or to icon "play" (flash will be open in fullscreen flash player). Next you can remove any flash.
Above is an example website that has the original flash games on it for you to test.