I don't know what exactly component you mean (in JED I've found module "Video Gallery", but no component with alike title), but most of such extensions can be divided into two groups:
1. Extensions that display your flash movies.
2. Extensions that embed movies from external websites (youtube, vimeo, etc).
In the first case the extension will not work correctly because of most phones don't support flash. And in second case it depends on how videos are embedded in the page, because of usually it's iframe with fixed width of 480px or 640px that is quite large for mobiles. For youtube-embedded videos we have developed special plugin that replaces embedded video with preview image that links to corresponding youtube page.
