The main purpose of wix.com is to allow anyone to create a flash based website using their highly customisable and easy to use templates. However as demonstrated here you can see it can also be used to create a flash widget which can be embedded in your existing web site.
In this example polybore has created a music player but you could just as easily create a video player, slide show, google map etc. In fact there are a huge range of widgets you could create. Well worth a look it is free to use as long as you don't mind some wix advertising on your widgets (it is pretty unobtrusive). If you don’t like the ads you could always pay and go premium.
wix.com hosts your site/ widget for free. Publishing options include embed (as in this example), publish to free wix hosting, publish to your domain (need to pay for this) or by email. Now this email option is fascinating as you could create some really interesting interactive flash based emails for subscribers to your web site.