Technically, what you're describing is the same thing. Flash is Flash, and there's no difference between what you're calling an image and a movie - it all ends up in a SWF file which is then played by flash player.
However, I do see more clear now what you're asking. You can do what you're wanting in a Flash creation program. There's of course the Flash creation software from Adobe:
animation software, multimedia software | Adobe Flash CS4 Professional
But there are also alternative creation programs like Swish:
SWiSH - Easy Flash Animation Software Tools and Designer Templates
... which have less features but are generally considered easier to use.
Both of these programs can be used to create the "Movie Image Banners" you describe.
Hope this helps!