I haven't seen this posted before, but apologies if it has already been noted.
When you go to the menu to select a new demigod (for example, when skirmishing), click the little "arrow" to show the demigod's flavour text. Then, click another demigod. You will now see the other demigod with the flavour text superimposed on top of him/her. If you now click the little arrow again (to hide the flavour text), the large (and ugly) random demigod question mark will be superimposed on top of the moving picture of the demigod in question.Obviously, only the picture of the demigod should be shown.
This obviously isn't a game-breaking bug, but it seems like something that should be easily fixed, so I figured I'd report it anyway.