I have a client who doesn't particularly like flash animations but liked one of the themes in Shozam. I tried numerous things to bypass the flash and think I found a fairly simple solution that appears to work so far. It seems Shozam doesn't do any type of validation on jpg's or swf files to see if that's really what they are.
In the editor under the flash animation section I did this.
First I created a blank (grey in this case) JPG file. I then made a copy of it and named it SWF. Then I just put the paths to the two files in the editor and saved the theme under a new name.
It seems to work and shows just a static image over a grey background. I assume this could work for any of the themes.