As far as I know a flash movie is really just a cmoputer file, not a video. i don't think there is a way of converting it because it is a completely different medium.
Even with Flash MX you wont be able to convert SWF files to AVI/MP4. If you were making your own Flash files you could publish them as AVI, but then obviously you would loose all interactivity. Hopefully Sony will eventually release a Flash player for the PSP but we'll just to need to wait and see.
Go here: http://javimoya.com/blog/youtube_en.php and copy the URL of the video from a site (e.g. Youtube) and download. Or, if you're talking about like flash clips like games, then there's an easy way through Firefox.
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