Exactly what icons? When did they appear? Icons should not just pop up unless you copied them there or installed a virus or spyware that added them.
They are icons from programs that used to be on my computer. I have long since deleted the programs and all of the software, etc. They are Yahoo Messenger, Aim Messenger, My Dream Wedding (which was a product from my Incredimail)
Most of my active icons have inactive clone icons. My computer still works like it did, but these icons won't move. I have searched in my registry for each one of them and there are no matches or traces of them.
I have since tried my CCleaner, Spybot, AVG, and everything I can think of. When I go to Safe Mode, they are not on my desktop. Everything is normal. I cannot imagine how this happened, but surely would like to get rid of them.
You can't delete them normally? Right-click on one, go to Properties and click on General Tab, what is the location listed as? Also click on Security and make sure the account you are using has Full control of it. If you happened to install them as a user that was an admin, and you have no rights to delete them, this can happen.
So you can't even select the icons at all? They act like they are part of the background?
Try this, change your wallpaper.
There is an old joke IT people do, they take a screenshot of the desktop, make it the wallpaper, and then hide the icons on the desktop. So the desktop is there, but the icons are just a picture. When you start in SafeMode, the background is not loaded, which is why you probably can't see these icons then.